breemarks77 breemarks77
  • 19-05-2021
  • Mathematics
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What is the probability of flipping a coin seven times and getting heads four times? A. 16.4 b.27.3 c. 5.5 d.0.8

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fichoh
fichoh fichoh
  • 20-05-2021

Answer:

0.2734

Step-by-step explanation:

Using the binomial probability relation :

P of success, p = 1/2 ; q = 1 - p = 0.5

Number of trials, n = 7

Number of successful outcomes = 4

Recall:

P(x = x) = nCx * p^x * q^(n-x)

P(x = 4) = 7C4 * 0.5^4 * 0.5^3

P(x = 4) = 35 * 0.5^4 * 0.5^3

P(x = 4) = 0.2734

Probability of obtaining 4 heads = 0.2734

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