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Find the probability of getting a sum of...

Find the probability of getting a sum of 9 or 10 in a throw of two dice.

A

`7/18`

B

`7/24`

C

`7/36`

D

`7/42`

Text Solution

Verified by Experts

The correct Answer is:
C
Total number of outcomes in a throw of two dice `=36`
Favourable ways of getting a sum of `9=(3,6),(4,5),(5,4),(6,3)`
`implies` No. of favourable ways of getting a sum `9=4`
and the probability of getting `9=4/36`
Again, favourable ways of getting a sum of `10=(4,6),(5,5),(6,4)`
`implies` No. of favourable ways of getting a sum of `10=3`
and the probability of getting `10=3/36`
These two events are mutually exclusive.
`:.` Probability of getting a sum of 9 or 10.
`=4/36+3/36=7/36`
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