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Sagot :
The probability of scoring exactly four out of the given six shots is 0.311, calculated using the concept of binomial distribution in probability theory.
What is a Binomial Distribution?
Binomial Distribution in probability theory is defined as getting x number of successes on repetition of trial n times, the formula for binomial distribution is C(n,r) × (p)x × (q)n - r, where p denotes the probability of success and q denotes the probability of failure.
Calculation of the probability of scoring exactly four shots out of six
Let p denote the probability of success and q denote the probability of failure, which is equal to 1 - p.
Using Binomial Distribution, we get,
P(x = r) = C(n,x) × (p)x × (q)n - x
Taking r = 4,
P(x = 4) = C(6,4) × (0.6)4 × (0.4)2
= 6! / (4! 2!) × (0.6)4 × 0.16
= 0.31104
~ 0.311
Hence, the required probability using binomial distribution is 0.311.
To learn more about binomial distributions, visit here:
https://brainly.com/question/15246027
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