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A Pair of Dice is Thrown. Find the Probability of Getting a Sum of 10 Or More, If 5 Appears on the First Die. - ICSE Class 10 - Mathematics

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Question

A pair of dice is thrown. Find the probability of getting a sum of 10 or more, if 5 appears on the first die.

Solution

In throwing dice, total possible outcome ={1,2,3,4,5,6} 

n(s)=6 

for two dice, n(s)=`6xx6=36` 

Favorable cases where the sum is 10 or more with 5 on 1st die = {(5,5),(5,6)} 

Event of getting the sum is 10 or more with 5 on 1st die = n (E)=2 

Probability of getting a sum of 10 or more with 5 on 1st die = 

`(n(E))/(n(s))=2/36=1/18` 

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Solution A Pair of Dice is Thrown. Find the Probability of Getting a Sum of 10 Or More, If 5 Appears on the First Die. Concept: Simple Problems on Single Events.
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