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  • Shaquille Neal is a <img alt="60 \%" src="https://entrancecorner.oncodecogs.com/gif.latex?60%20%5C%25

Shaquille \mathrm{O} Neal is a 60 \% career free throw shoots, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully make exactly 6 free throws in 10 attempts?

Option: 1

0.2508


Option: 2

0.2816


Option: 3

0.2934


Option: 4

0.6000


Answers (1)

best_answer

Given that, the probability of success,
\mathrm{p=\frac{60}{100}=0.6}

\therefore  Probability of failure,

\mathrm{q=1-0.6=0.4}

\therefore The probability that he will successfully make exactly 6 free throws in 10 attempts is given by

\mathrm{p(E) ={ }^n C_1 p^{\prime} q^{n-t} ; }

Where , \mathrm{n =10 \text { and } r=6 . }
\mathrm{={ }^{10} C_6(0.6)^6(0.4)^{(10-6)} }
\mathrm{ =210 \times 0.0467 \times 0.0256 }
\mathrm{ =0.251 }

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seema garhwal

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