Question

If n(A) = 2, P(A) = 1/5, then n(S) = ?​

Answer 1

Answer:

The value of n (S) is 10.

Step-by-step explanation:

The formula to compute the probability of an event E is:

$P(E)=\frac{n(E)}{n(S)}$

Here,

n (E) = number of favorable outcomes

n (S) = Total number of outcomes

Given:

n (A) = 2

P (A) = 1/5

Compute the value of n (S) as follows:

$P(A)=\frac{n(A)}{n(S)}\\\frac{1}{5}=\frac{2}{n(S)}\\n(S)=5\times2\\=10$

Thus, the value of n (S) is 10.

Answer 2

Answer:

P(A) = 1/5

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

1/5 = 2/n(S)

1/(5*2) = 1/n(S)

1/10 = 1/n(S)

n(S) = 10