Question

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? 0.15 0.21 0.79 0.85

Answer 1

Only 21% are Males and guitare players, hence the probability is 21% = 0.21

Answer 2

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=

`(21\%* x)/(x)\\\\=((21)/(100)x)/(x)\\\\=(21)/(100)\\\\=0.21`

Hence, Probability is 0.21