Question

If P(A) = 3/8 ,n(s) = 16, what is the n(A)​

Answer 1

P(A) = n(A) / n(S)

where P(A) is the probability of event A occurring, n(A) is the number of outcomes in event A, and n(S) is the total number of outcomes in the sample space.

Using the values given in the problem, we have:

P(A) = 3/8

n(S) = 16

Substituting these values into the formula, we get:

3/8 = n(A) / 16

To solve for n(A), we can cross-multiply:

3 * 16 = 8 * n(A)

48 = 8n(A)

Dividing both sides by 8, we get:

n(A) = 6

Therefore, the number of outcomes in event A is 6.