Question

A black dice and a white dice are thrown at the same time, 

a. Write all the possible outcomes. 

b. What is the probability that the sum of the two numbers is to be 8. 

c. What is the probability that being the same number to be on both dice?

Answer 1

a. Total outcomes

(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)

Total = 36

b. Sum of two numbers is to be 8 = 5 (2,6), (3,5), (4,4), (5,3), (6,2), Probability = 5/36

c. Probability of being same number =(1,1), (2,2), (3,3), (4,4), (5,5), (6,6),

Total = 6

Probability = \(\frac{6}{36}=\frac{1}{6}\)