Question

If we randomly pick two television sets in succession from a shipment of 240 television sets of which 15 are defective, what is the probability that they will both be defective

Answer 1

Answer: 0.0039

Step-by-step explanation:

Given : Total televisions = 240

Defective televisions = 15

The proportion of defective sets : $p=\dfrac{15}{240}=0.0625$

Number of televisions selected = 2

Using binomial probability formula :

$P(x)=^nC_xp^x(1-p)^{n-x}$

The probability that they will both be defective :_

$P(x=2)=^2C_2(0.0625)^2(1-0.0625)^0=(1)(0.0625)^2=0.00390625\approx0.0039$

Hence, the required probability =0.0039