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Q.

Two dice are thrown simultaneously. What is the probability that 5 will come up at both dice?


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a

11 36

b

25 36

c

27 36

d

1 36  

answer is D.

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Detailed Solution

Given that 2 dices are thrown. And one die has 6 faces.
Total numbers of outcomes when throwing n no. of dice together = 6 n .
The total number of possible outcomes when throwing two dice together is n S = 6 2 =36 .
The possible outcomes when two dice are thrown simultaneously is,Question ImageThe Probability of occurrence of an event E is P(E)= n(E) n(S) .
Let E be the event of getting 5 on both the dice.
Favorable outcome = 5,5
Number of favorable outcomes =n E =1 Substitute the values in the formula of probability.
  P(E)= n(E) n(S) = 1 36
Hence, option 4 is correct.
 
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Two dice are thrown simultaneously. What is the probability that 5 will come up at both dice?