40s app prob questions
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Which expression correctly describes the experimental probability, P(B), where n(B) is the number of times event B occurred and n(T) is the total number of trials, T, in the experiment?
A. /B. /
C. /
D. /
____ 2. Which expression correctly describes the theoretically probability, P(X), where n(X) is the number of times event X occurred and n(S) is the number of outcomes in the sample space, S, where all outcomes are equally likely?
A. /B. /
C. /
D. /
____ 3. Given the following probabilities, which event is most likely to occur?
A. / P(A) = 0.2B. / P(B) =
C. / P(C) = 0.3
D. / P(D) =
____ 4. Given the following probabilities, which event is most likely to occur?
A. / P(A) = 0.28B. / P(B) =
C. / P(C) = 0.27
D. / P(D) =
____ 5. Three events, A, B, and C, are all equally likely. If there are no other possible events, which of the following statements is true?
A. / P(A) = 0B. / P(B) =
C. / P(C) = 1
D. / P(A) = 3
____ 6. The odds of Macy passing her driver’s test on the first try are 7 : 4. Determine the odds against Macy passing her driver’s test.
A. / 4 : 7B. / 4 : 11
C. / 7 : 11
D. / 3 : 11
____ 7. Raymond has 12 coins in his pocket, and 9 of these coins are quarters. He reaches into his pocket and pulls out a coin at random. Determine the odds against the coin being a quarter.
A. / 1 : 4B. / 1 : 3
C. / 3 : 4
D. / 3 : 1
____ 8. Julie draws a card at random from a standard deck of 52 playing cards. Determine the odds in favour of the card being a heart.
A. / 3 : 1B. / 1 : 3
C. / 1 : 1
D. / 3 : 13
____ 9. Tia notices that yogurt is on sale at a local grocery store. The last eight times that yogurt was on sale, it was available only three times. Determine the odds against yogurt being available this time.
A. / 3 : 5B. / 3 : 8
C. / 5 : 8
D. / 5 : 3
____ 10. Zahra likes to go rock climbing with her friends. In the past, Zahra has climbed to the top of the wall 7 times in 28 attempts. Determine the odds against Zahra climbing to the top.
A. / 3 : 1B. / 4 : 1
C. / 3 : 11
D. / 3 : 4
____ 11. The odds of Macy passing her driver’s test on the first try are 7 : 4. Determine the probability that she will pass her driver’s test.
A. / 0.226B. / 0.364
C. / 0.571
D. / 0.636
____ 12. Raymond has 12 coins in his pocket, and 9 of these coins are quarters. He reaches into his pocket and pulls out a coin at random. Determine the probability of the coin being a quarter.
A. / 0.250B. / 0.333
C. / 0.750
D. / 0.848
____ 13. Julie draws a card at random from a standard deck of 52 playing cards. Determine the probability of the card being a diamond.
A. / 0.250B. / 0.500
C. / 0.625
D. / 0.750
____ 14. Tia notices that yogurt is on sale at a local grocery store. The last eight times that yogurt was on sale it was available only three times. Determine the probability of yogurt being available this time.
A. / 0.220B. / 0.375
C. / 0.460
D. / 0.625
____ 15. Zahra likes to go rock climbing with her friends. In the past, Zahra has climbed to the top of the wall 7 times in 28 attempts. Determine the probability of Zahra climbing to the top this time.
A. / 0.250B. / 0.333
C. / 0.625
D. / 0.750
____ 16. The weather forecaster says that there is an 80% probability of rain tomorrow. Determine the odds against rain.
A. / 4 : 5B. / 4 : 1
C. / 1 : 5
D. / 1 : 4
____ 17. The weather forecaster says that there is a 30% probability of fog tomorrow. Determine the odds against fog.
A. / 3 : 7B. / 3 : 10
C. / 7 : 3
D. / 7 : 10
____ 18. The weather forecaster says that there is a 50% probability of showers tomorrow. Determine the odds against showers.
A. / 1 : 1B. / 5 : 10
C. / 2 : 1
D. / 1 : 2
____ 19. A sports forecaster says that there is a 75% probability of a team winning their next game. Determine the odds against that team winning their next game.
A. / 3 : 4B. / 1 : 3
C. / 3 : 1
D. / 1 : 4
____ 20. A sports forecaster says that there is a 40% probability of a team winning their next game. Determine the odds against that team winning their next game.
A. / 2 : 3B. / 2 : 5
C. / 3 : 5
D. / 3 : 2
____ 21. A credit card company randomly generates temporary three-digit pass codes for cardholders. The pass code will consist of three different even digits. Determine the total number of pass codes using three different even digits.
A. / 5P5B. / 5P3
C. / 5P4
D. / 5P1
____ 22. From a committee of 18 people, 2 of these people are randomly chosen to be president and secretary. Determine the number of ways in which these 2 people can be chosen for president and secretary.
A. / 2P2B. / 2P1
C. / 18P2
D. / 18P16
____ 23. Yvonne tosses three coins. She is calculating the probability that at least one coin will land as heads. Determine the number of options where at least one coin lands as heads.
A. / 1B. / 3
C. / 5
D. / 7
____ 24. A credit card company randomly generates temporary four-digit pass codes for cardholders. Determine the number of four digit pass codes.
A. / 10B. / 100
C. / 1000
D. / 10 000
____ 25. From a committee of 18 people, 2 of these people are randomly chosen to be president and secretary. Determine the total number of possible committees.
A. / 18P16B. / 18P4
C. / 18P2
D. / 18P12
____ 26. Yvonne tosses three coins. She is calculating the probability that at least one coin will land as heads. Determine the total number of outcomes.
A. / 2B. / 4
C. / 8
D. / 16
____ 27. Nine boys and twelve girls have signed up for a trip. Only six students will be selected to go on the trip. Determine the probability that only boys will be on the trip.
A. / 0.02%B. / 0.08%
C. / 0.15%
D. / 0.23%
____ 28. Nine boys and twelve girls have signed up for a trip. Only six students will be selected to go on the trip. Determine the probability that there will be equal numbers of boys and girls on the trip.
A. / 17.23%B. / 22.61%
C. / 27.35%
D. / 34.06%
____ 29. Nine boys and twelve girls have signed up for a trip. Only six students will be selected to go on the trip. Determine the number of ways in which there can be more girls than boys on the trip.
A. / 17 456B. / 25 872
C. / 29 778
D. / 35 910
____ 30. Four boys and three girls will be riding in a van. Only two people will be selected to sit at the front of the van. Determine the probability that only boys will be sitting at the front.
A. / 28.57%B. / 33.45%
C. / 39.06%
D. / 46.91%
____ 31. Four boys and three girls will be riding in a van. Only two people will be selected to sit at the front of the van. Determine the probability that there will be equal numbers of boys and girls sitting at the front.
A. / 53.07%B. / 57.14%
C. / 59.36%
D. / 62.23%
____ 32. Four boys and three girls will be riding in a van. Only two people will be selected to sit at the front of the van. Determine the number of ways in which there can be more girls than boys sitting at the front.
A. / 3B. / 4
C. / 5
D. / 6
____ 33. Yvonne tosses three coins. Determine the probability that at least one coin will land as heads.
A. / 12.5%B. / 37.5%
C. / 62.5%
D. / 87.5%
____ 34. Cai tosses four coins. Determine the probability that they are all tails.
A. / 6.25%B. / 12.50%
C. / 18.75%
D. / 25.00%
____ 35. Dora tosses four coins. Determine the probability that at least two coins will land as heads.
A. / 37.52%B. / 46.30%
C. / 68.75%
D. / 74.17%
____ 36. Jake and Agnes are playing a board game. If a player rolls a sum greater than 9 or a multiple of 6, the player gets a bonus of 50 points. Determine the probability of rolling a sum greater than 9.
A. /B. /
C. /
D. /
____ 37. Jake and Agnes are playing a board game. If a player rolls a sum greater than 9 or a multiple of 6, the player gets a bonus of 50 points. Determine the probability of rolling a multiple of 6.
A. /B. /
C. /
D. /
____ 38. Two dice are rolled. Let A represent rolling a sum greater than 7. Let B represent rolling a sum that is a multiple of 3. Determine n(A Ç B).
A. / 5B. / 8
C. / 12
D. / 15
____ 39. Two dice are rolled. Let A represent rolling a sum greater than 10. Let B represent rolling a sum that is a multiple of 2. Determine n(A Ç B).
A. / 1B. / 3
C. / 11
D. / 18
____ 40. Two dice are rolled. Let A represent rolling a sum greater than 6. Let B represent rolling a sum that is a multiple of 4. Determine P(A Ç B).
A. /B. /
C. /
D. /
____ 41. Two dice are rolled. Let A represent rolling a sum greater than 8. Let B represent rolling a sum that is a multiple of 3. Determine P(A Ç B).
A. /B. /
C. /
D. /
____ 42. Select the events that are mutually exclusive.
A. / Drawing a 7 or drawing a heart from a standard deck of 52 playing cards.B. / Rolling a sum of 4 or rolling an even number with a pair of four-sided dice, numbered 1 to 4.
C. / Drawing a black card or drawing a Queen from a standard deck of 52 playing cards.
D. / Rolling a sum of 8 or a sum of 11 with a pair of six-sided dice, numbered 1 to 6.
____ 43. Select the events that are mutually exclusive.
A. / Drawing a red card or drawing a diamond from a standard deck of 52 playing cards.B. / Rolling a sum of 8 or rolling an even number with a pair of six-sided dice, numbered 1 to 6.
C. / Drawing a black card or drawing a Queen from a standard deck of 52 playing cards.
D. / Drawing a 3 or drawing an even card from a standard deck of 52 playing cards.
____ 44. Select the events that are mutually exclusive.
A. / Rolling a sum of 9 or rolling a multiple of 3 with a pair of six-sided dice, numbered 1 to 6.B. / Drawing a Jack or drawing a face card from a standard deck of 52 playing cards.
C. / Walking to school or taking the bus to school.
D. / Drawing a 2 or drawing a spade from a standard deck of 52 playing cards.
____ 45. Josie is about to draw a card at random from a standard deck of 52 playing cards. Determine the probability that she will draw a red card or a 7.
A. /B. /
C. /
D. /
____ 46. Helen is about to draw a card at random from a standard deck of 52 playing cards. Determine the probability that she will draw a black card or a spade.
A. /B. /
C. /
D. /
____ 47. Roena is about to draw a card at random from a standard deck of 52 playing cards. Determine the probability that she will draw a heart or a King.