Question

If n(A) = 2, P(A) =1/5 then find total number of
elements in sample Space

Answer 1

Answer:

The sample space contains 10 elements.

Step-by-step explanation:

Let A be an event. The probability of an event is calculated as given.

$Probability = \dfrac{number\ of \ favourable \ outcomes}{Total\ elements\ in \ sample\ space}$

which is the same as,

$Probability = \dfrac{n(A)}{n(Sample\ Space)}$

Given that

$P(A) = \dfrac{1}{5}$    and   $n(A)= 2$ .

Thus we obtain,

$\implies \dfrac{1}{5} = \dfrac{2}{n(Sample\ Space)} \\\\\implies n(Sample\ Space) = 2\times 5 = 10$

So the sample space contains ten elements.