Question

What is the probability of getting either a doublet or total 4 in a single throw with two dice?​

Answer 1

Answer:

Step-by-step explanation:

If two dice are thrown simultaneously, the possible 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)

Total outcomes=36

For, doublet i.e. the same number on both the dice:-

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

Number of successes=6

Total possible outcomes=36

Therefore, probability of getting doublet=number of successes/total possible outcomes=6/36=1/6

Hence, the answer is 1/6