In a single throw of two dice, find P (a total of 10)
In a single throw of two dice, find P (a total of 10)

Answer : We know that,

Probability of occurrence of an event

Total 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)

Desired outcomes are (4, 6), (5, 5), (6, 4)

Conclusion: Probability of getting total sum 10, when two dice are rolled is 1/12
Total no.of outcomes are 36 and desired outcomes are 3 Therefore, the probability of getting a total of 10