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Two Dice Are Rolled Together. Find the Probability of Getting: a Multiple of 2 on One Die and an Odd Number on the Other Die. - ICSE Class 10 - Mathematics

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Question

Two dice are rolled together. Find the probability of getting:  

a multiple of 2 on one die and an odd number on the other die.

Solution

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

n(s) 

for two dice, `n (s)=6xx6=36`   

E= event of getting a multiple of 2 on one die and an odd number on the  othher = (2,1),(2,3),(2,5),(4,1),(4,3),(4,5),(6,1),(6,3),(6,5),(1,2),(3,2),(5,2),(1,4),(3,4),(5,4),(1,6),(3,6),(5,6) 

n(E)=18 

Probability of getting a multiple of 2 one die and an odd number on the other= `(n(E))/(n(s))=18/36=1/2`  

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Solution Two Dice Are Rolled Together. Find the Probability of Getting: a Multiple of 2 on One Die and an Odd Number on the Other Die. Concept: Simple Problems on Single Events.
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