Applied Maths. Section B2Probability Distributions

A die is rolled twice. If a random variable X is defined as into a pr…

A die is rolled twice. If a random variable X is defined as into a prime member, then the probability distribution of X is given by :

Answer & explanation

Correct answer: option 2

The correct answer is Option (1)

X	2	3	5	7	11
P(X)	$\frac{1}{36}$	$\frac{2}{36}$	$\frac{4}{36}$	$\frac{6}{36}$	$\frac{2}{36}$

X	2	3	5	7	11
P(X)	$\frac{1}{15}$	$\frac{2}{15}$	$\frac{4}{15}$	$\frac{6}{15}$	$\frac{2}{15}$

X	2	3	5	7	11
P(X)	$\frac{1}{18}$	$\frac{2}{18}$	$\frac{3}{9}$	$\frac{4}{9}$	$\frac{1}{9}$

X	2	3	5	7	11
P(X)	$\frac{1}{18}$	$\frac{2}{18}$	$\frac{4}{18}$	$\frac{6}{18}$	$\frac{2}{18}$

X	2	3	5	7	11
P(X)	$\frac{1}{15}$	$\frac{2}{15}$	$\frac{4}{15}$	$\frac{6}{15}$	$\frac{2}{15}$

X	2	3	5	7	11
P(X)	$\frac{1}{18}$	$\frac{2}{18}$	$\frac{3}{9}$	$\frac{4}{9}$	$\frac{1}{9}$