Choose the correct answer from the given four options.The probabi… - Vidyadip

MCQ

Choose the correct answer from the given four options.The probability that a person is not a swimmer is $0.3.$ The probability that out of $5$ persons $4$ are swimmers is:

✓
${^5}\text{C}_4(0.7)^4(0.3)$
B
${^5}\text{C}_1(0.7)^4(0.3)^4$
C
${^5}\text{C}_4(0.7)(0.3)^4$
D
$(0.7)^4(0.3)$

✓

Answer

Correct option: A.

${^5}\text{C}_4(0.7)^4(0.3)$

Here, $\bar{\text{p}}=0.3$
$\Rightarrow\text{p}=0.7$
and $\text{q}=0.3,\text{n}=5$ and $\text{r}=4$
$\therefore$ Required probability $={^5}\text{C}_4(0.7)^4(0.3)$

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