a. Consider a regular 52-card deck. If you pick a card randomly and then replace it...

a. Consider a regular 52-card deck. If you pick a card randomly and then replace it 5 times, what is the probability of getting an Ace exactly two times?

b. Consider flipping a fair coin 10 times. Let X(t) be the number of heads when the outcome is t. What is P(X = 0 or X = 7)?

c.Consider a coin that is weighted so that that flipping it results in heads 3 times as often as tails. If you flip the coin 10 times, what is the probability of getting exactly 5 heads given that the first two flips come up heads.
d. Consider two dice. Die 1 is a regular, fair, 6-sided die. Die 2 is weighted so that a 6 gets rolled 3 times as often as any other number. If you roll each die three times, how many times more likely are you to get 3 6's with the weighted die than with the fair die? [That is, what is P(three 6's with Die 2)/P(three 6's with Die 1)?] Round your answer to the nearest whole number.
e. if you flip a fair coin 10 times, what is the probability of getting at least 5 heads given that the first 3 flips come up heads

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orchestra answered 1 year ago

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