Choose the correct answer. You flip a coin 50 times. What is the probability that you will get tails...

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3) Choose the correct answer. You flip a coin 50 times. What is the probability that you will get tails exactly 35 times? O 2.25 x 10^12 O 8.88 x 10^-16 O 1.26 x 10^-14 O 2 x 10^-3

SnapAndSolve AI · Accepted Answer

To find the probability of getting tails exactly 35 times out of 50 flips, we use the binomial probability formula:

P(X = k) = C(n, k) * (p^k) * ((1-p)^(n-k))

where:

n = 50 (total number of trials)
k = 35 (number of successful trials)
p = 0.5 (probability of getting tails in one flip)

Calculate the combination C(50, 35):

C(50, 35) = 50! / (35! * 15!)

Then calculate the probability:

P(X = 35) = C(50, 35) * (0.5^35) * (0.5^15)

This simplifies to:

P(X = 35) = C(50, 35) * (0.5^50)

After calculating, the probability is approximately:

8.88 x 10^-16

Therefore, the correct answer is:

8.88 x 10^-16

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Choose the correct answer. You flip a coin 50 times. What is the probability that you will get tails...

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