Question

Fez rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 6.

Answer 1

Answer:

The probability of getting  sum of two dice is less than six

P(E) =0.25

Step-by-step explanation:

Step(i):-

The total number of cases n(S) = 6² = 36

Let 'E' be the event of getting  sum of two dice is less than six

{(1,2) , (1,3),(1,4),(2,1),(2,2),(2,3),(3,1),(3,2),(4,1)}

n(E) =9

Step(ii):-

The probability of getting  sum of two dice is less than six

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

$P(E) = \frac{9}{36} = \frac{1}{4}$

P(E) = 0.25