Math Analysis (X)

Unit 7 Review Worksheet 7.3

Mrs. Pretz

1. In a regular deck of 52 cards, face cards are Kings, Queens, and Jacks. Find the following probabilities, if one card is drawn:

a)  P(not King)

b)  P(black and King)

c)  P(black or King)

d)  P(black face card)

e)  P(club face card)

If two cards are drawn without replacement, find the following probabilities:

f)  P(both face cards)

g)  P(both clubs)

h)  P(one is Jack and one is Queen)

2. A fair six-sided die is rolled four times. Find the following probabilities:

a)  P(only one two)

b)  P(three twos)

c)  P(no twos)

d)  P(at least one two)

3. A jar contains four Red marbles, three Blue marbles, and two White marbles. If two marbles are drawn without replacement, find the following probabilities:

a)  P(the first is Red and the second is Blue)

b)  P(Red and Blue in any order)

c)  P(both are the same color)

4. If the letters of the word TULIPS are rearranged, what is the probability of each of the following:

a)  P will be first

b)  PI will come first

c)  P and I will come first in any order

5.  A team of three is to be chosen from six men and four women. What is the probability that the team contains exactly two men?

6. Suppose a coin is bent so that the probability of its coming up “heads” on any toss is . If the coin is tossed 3 times, find the probability of getting:

a) 3 “heads”

b) 1 “head”

c) 0 “heads”

7. The following 6 card are placed face down on a table: ace, 2 and 3 of hearts; ace and 2 of clubs; and ace of spades. One card is randomly chosen.

a) Are the events “ace” and “heart” mutually exclusive?

b) Are the events “2” and “space” mutually exclusive?

8. Thirteen cards are dealt from a well-shuffles standard deck. What is the probability of getting: (leave answers as formulas)

a) all hearts

b) no hearts

c) at least one heart

9. A laundry bag contains 5 red, 9 blue, and 6 white socks. Find the probability of picking (without replacement)…

a.) 2 red b.) 2 blue

c.) 1 red, 1 blue c.) 4 not blue

10. What are the odds of picking a face card out of a deck of cards?

11. If the odds of rain tomorrow are 7:3, what’s the probability it will rain tomorrow?

What’s the probability of…

12. drawing a black card from a deck of cards, replacing it, and drawing another black card?

13. rolling a sum of 6 or 8 when rolling 2 dice?

14. picking at least 3 white crayons when you pick 4 crayons from a box with 7 whites and 5 blues?

15. drawing a king or a red card from a deck of cards?

16. rolling 2 dice whose sum is even, given that the 1st die was a 3?

17. drawing 4 spades and 1 red card?

18. Out of 250 students, 90 take AP Calculus, 75 take AP Chemistry, and 35 take both. Find the following:

a.) P(Calc) b.) P(neither Calc nor Chem)

b.) P(Calc | Chem) d.) P(not Chem | Calc)

19. A coin is flipped 4 times. What is the probability of getting at least 3 heads, given the 1st flip was heads?

20. A basketball player makes his free throws of the time. If he shoots 6 shots, find the following:

a.) P(makes all 6) b.) P(makes at least 3)

c.) P(misses no more than 3) d.) P(makes only 1)

21. If 85% of tomato seeds yield tomato plants, and I plant 10 seeds, what’s the probability I will get exactly 8 or 9 plants?

Answers:

1. a. 12/13 b. 1/26 c. 7/13 d. 3/26 e. 3/52 f. 11/221 g. 1/17 h. 8/663

2. a. b. c. d.

3. a. 1/6 b. 1/3 c. 5/18 4. a. 1/6 b. 1/30 c. 1/15

5. 1/2 6. a. b. c. 7. a. No b. Yes

8. a. b. c.

9a.)
9b.)
9c.)
9d.)
10.) 3:10
11.) 70% or .7 or
12.)
13.) / 14.)
15.)
16.)
17.) .00715 or .715%
18a.)
18b.)
18c.)
18d.) / 19.)
20a.)
20b.)
20c.) (same question as 12b.)
20d.)
21.) 62.3%