Probability Explanation And Exercises Worksheet Page 33

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9. A jar contains 10 blue marbles, 5 red marbles, 4 green marbles, and 1 yellow
marble. Two marbles are chosen (without replacement). (a) What is the
probability that one will be green and the other red? (b) What is the probability
that one will be blue and the other yellow?
10. You roll a fair die five times, and you get a 6 each time. What is the probability
that you get a 6 on the next roll?
11. You win a game if you roll a die and get a 2 or a 5. You play this game 60
times.
a. What is the probability that you win between 5 and 10 times (inclusive)?
b. What is the probability that you will win the game at least 15 times?
c. What is the probability that you will win the game at least 40 times?
d. What is the most likely number of wins.
e. What is the probability of obtaining the number of wins in d?
Explain how you got each answer or show your work.
12. In a baseball game, Tommy gets a hit 30% of the time when facing this pitcher.
Joey gets a hit 25% of the time. They are both coming up to bat this inning.
a. What is the probability that Joey or Tommy will get a hit?
b. What is the probability that neither player gets a hit?
c. What is the probability that they both get a hit?
13. An unfair coin has a probability of coming up heads of 0.65. The coin is flipped
50 times. What is the probability it will come up heads 25 or fewer times?
(Give answer to at least 3 decimal places).
14.You draw two cards from a deck, what is the probability that:
a. both of them are face cards (king, queen, or jack)?
b. you draw two cards from a deck and both of them are hearts?
15. True/False: You are more likely to get a pattern of HTHHHTHTTH than
HHHHHHHHTT when you flip a coin 10 times.
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