& SIMPLE
PROBABILITY / CALCULATING
PROBABILITIES / INDEPENDENT
EVENTS &
RANDOM
NUMBERS / PERMUTATIONS / PROBABILITY
DISTRIBUTIONS
100 / Suppose a sample space has 281 elements. Of these, 47 elements are in event X and 140 elements are in event Y. If one element in the sample space is chosen at random, what is the probability it is an outcome within event X? / Sara has three hats, five dresses, two belts and ten pairs of shoes. How many different outfits (you cannot break up a pair of shoes) can she make? / Write an expression that you could put in your calculator to simulate the sum of three
7-sided dice. / Evaluate the following expression:
21!
15! / What does y have to be in the probability distribution table shown in the diagrams?
200 / When two fair 6-sided dice are tossed, what is the probability of a sum of 3 or 6? / The Admirals are playing the Wolves. If the probability that the Admirals win the hockey game is 0.6 and the probability that the Wolves win is 0.35, what is the probability of a tie? / Let P(A) = 0.6 and P(B) = 0.3 and P(A∩B) = 0.2. Determine if A and B are independent events. / How many permutations are there of all the letters in the word BLANKET? / Find the expected value for the probability distribution shown in the diagrams that shows the probability that Joan will score x points in a one-and-one free throw situation in a basketball game.
300 / List the set of outcomes in a sample space for flipping a coin and rolling a 4-sided die. / What’s the probability of drawing a ace or a diamond on one draw from a standard deck of 52 cards? (Express your answer as a reduced fraction.) / You randomly pick a number from 0 to 12 (inclusively). If event Q is all the even numbers and event R is all the odd numbers, determine if Q and R are independent. / Evaluate the following:
13P4 / Create a probability distribution for the sum of two 4-sided dice.
400 / How many elements are in an equally likely sample space of flipping 3 coins and rolling four 6-sided dice? / How many groups of four people can be formed from a group of ten people? / W and R are independent events. If P(W) = 0.3, and
P(W ∩ R) = 0.24, find P(R). / How many “words” using all letters can be formed from the word APPEARING? / Create a probability distribution for the number of girls a family has if they have 4 children.
500 / In a family with four children, what is the probability of having exactly 2 girls? / There are 7 red marbles and 11 blue marbles in a bag. Jose selects three marbles (without replacement) at random. What is the probability that all three marbles are blue? Write your answer as a decimal rounded to the thousandths place. / A spinner only has the equally likely numbers 2, 4, 6, 8, and 10 on it. Write an expression that you could put in your calculator to simulate the spinner. / Solve for n:
3∙nP4 = nP5 / What is the expected value of the probability distribution for the spinner shown on the diagrams? (All numbers are equally likely.)
Chapter 7 Jeopardy Review Game
SAMPLE SPACE& SIMPLE
PROBABILITY / CALCULATING
PROBABILITIES / INDEPENDENT
EVENTS &
RANDOM
NUMBERS / PERMUTATIONS / PROBABILITY
DISTRIBUTIONS
100 / P(x) = 47/281 / 300 / randInt(1,7) + randInt(1, 7) + randInt(1, 7)
OR
randInt(1, 7, 3) / 21∙20∙19∙18∙17∙16 =
39,070,080 / 0.24
200 / P(sum of 3 or sum of 6) = 7/36 / 0.05 / 0.6 ∙ 0.3 = 0.18 ≠ 0.2
Therefore A and B are dependent events. / 7! = 5040 / 0 + .36 + 1.04 = 1.4
300 / {H1, H2, H3, H4,
T1, T2, T3, T4} / 16/52 = 4/13 / P(Q) = 7/12
P(R) = 5/12
P(Q∩R) = 0
7/12 ∙ 5/12 ≠ 0
Therefore Q and R are dependent. / 13∙12∙11∙10 = 17160 / See Diagrams
400 / 10368 / 5040 / P(R) = 0.8 / _9!_ = 362880 = 90720
2!2! 4 / See Diagrams
500 / P(exactly 2 girls in 4 children) = 6/16 = 3/8 / 990/4896 ≈ 0.202 / 2 ∙ randInt(1, 5) / n = 7 / 9.75
Chapter 7 Jeopardy Review Game Answers