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Q.

Two different dice are thrown together. Find the probability that the numbers obtained have even product.

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a

1 2     

b

3 5     

c

3 4     

d

1 3      

answer is C.

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Detailed Solution

We need to find the probability that the numbers obtained have even product, when two different dice are tossed together.
Probability of an event E is defined as:
P(E)=Number of favorable outcomesTotal number of possible outcomes
The possible outcomes, when a pair of dice is tossed together, are:
Question ImageTotal number of possible outcomes will be 36.
According to the question, favorable outcomes are the numbers obtained who have even product. Thus we have:
Question ImageHence, the number of favorable outcomes = 27.
Let E   be the event of getting an even product.
Now, the probability that the numbers obtained on both dice have even product, is:
P(E)= 27 36 P(E)= 3 4  
Hence, the probability that the numbers obtained on both dice have even sum is 3 4  .
Therefore, option 3 is correct.
 
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