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

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1136

2536

2736

136

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 = 62 = 36

.
The possible outcomes when two dice are thrown simultaneously is, Question Image

The 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) = 136

Hence, option 4 is correct.

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