Question

If two dice are rolled, then what is the probability that the sum of the

numbers on the upper faces is less than 8?​

Answer 1

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MATHS

Two dice are thrown, find the probability of getting

(1) The sum of numbers on their upper faces is at least 10.

(2) The sum of the numbers on their upper faces is divisible by 5.

(3) The number on the upper face of the first die is greater than the number on the upper face of the second die.

December 27, 2019avatar

Subin Chhapri

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ANSWER

Two dice are thrown

∴ Sample space

S={(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)}

∴n(S)=36

(1) A={(4,6),(5,5),(5,6),(6,4),(6,5),(6,6)}

n(A)=6

Probability, P(A)=

n(S)

n(A)

=

36

6

=

6

1

(2) B={(1,4),(2,3),(3,2),(4,1),(4,6),(5,5),(6,4)}

n(B)=7

Probability, P(B)=

n(S)

n(B)

=

36

7

(3) C={(2,1),(3,1),(3,2),(4,1),(4,2),(4,3),(5,1),(5,2),(5,3),(5,4),(6,1),(6,2),(6,3),(6,4),(6,5)}

n(C)=15

Probability, P(C)=

n(5)

n(C)

=

36

15