Question

Select the correct answer.

If 21% of males and 15% of females in a given state play the guitar, what is the probability that a randomly selected subject in the state plays the guitar, given that the subject is male?
A.
0.15
B.
0.21
C.
0.79
D.
0.85

Answer 1

The probability that a randomly selected subject in the state plays the guitar is:

0.21

Explanation:

Let 'x' be the number of male.

Now it is given that 21% of males play the guitar.

That means 21% of x play the guitar.

i.e. 21%×x play the guitar.

Hence, the probability that a randomly selected subject in the state plays the guitar, given that the subject is male is calculated as:

Probability=( number of male members playing the guitar)/(Total number of males)

Probability=0.21

Hence, Probability is 0.21

Answer 2

B. 0.21

Explanation:

The problem statement tells you 21% of males play the guitar. That means the probability is 0.21 that a randomly chosen male will play the guitar.