Question

Carrie rolls 2 fair dice and Work out the probability of

Answer 1

Answer : The probability of getting a total that is a multiple of 4 is, $\frac{1}{4}$

Step-by-step explanation :

Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}$

Favorable outcomes are:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)    

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)    

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)    

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)    

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)    

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)    

Favorable outcomes for getting a total that multiple of 4 are, (1,3), (2,2), (2,6), (3,1), (3,5), (4,4), (5,3), (6,2), (6,6)

Number of favorable outcomes for getting a total that multiple of 4 = 9

Total number of outcomes = 36

$\text{Probability}=\frac{\text{Number of favorable outcomes for a multiple of 3}}{\text{Total number of favorable outcomes}}$

$\text{Probability}=\frac{9}{36}$

$\text{Probability}=\frac{1}{4}$

Therefore, the probability of getting a total that is a multiple of 4 is, $\frac{1}{4}$