Question

HELP ASAP!!!!!!!!

The probability of a randomly selected employee of a company being male is 60%. The probability of the employee being less than 30 years old is 70%. If the probability of the employee being less than 30 years old given that the employee is a male is 40%, what is the probability that the employee is a male, given that the employee is less than 30 years old?
A. 0.34
B. 0.42
C. 0.55
D. 0.69
E. 0.71

Answer 1

A. 0.34

Explanation:

This is for plato users.

Answer 2

The correct answer is A. 0.34

Explanation:

Let the event male is donated by M and the event that age is less than 30 is denoted by L

Now, P(M) = 60% = 0.6

P(L) = 70% = 0.7

P(L/M) = 40% = 0.4

`\text{Conditional probability, P(L/M) is given by : }(P(L\:\:and\:\:M))/(P(M))\\\\\implies P(L\:\:and\:\:M)=0.4* P(M)\\\\\implies P(L\:\:and\:\:M) = 0.4* 0.6\\\\\implies P(L\:\:and\:\:M) =0.24`

Now, we need to calculate P(M/L)

`\implies P(M/L)=(P(L\:\:and\:\:M))/(P(L))\\\\\implies P(M/L)=(0.24)/(0.7)\\\\ \implies P(M/L) =0.3429\approx 0.34`

Therefore, The correct answer is A. 0.34