First slide

Random variable and probability distribution

Question

Probability of happening of an event in an experiment is 0.6. The probability of happening of the event atleast once, if the experiment is repeated 4 times under similar condition is

Easy

A

$\frac{609}{625}$
B

$\frac{13}{16}$
C

$\frac{98}{125}$
D

$\frac{1}{4}$

Solution

$p = 0.6, q = 0.4, n = 4$
$P (X \geq 1) = 1 - P (X = 0) = 1 - {(0.4)}^{4} = \frac{609}{625}$

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