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Question

A 6-sided die is rolled. What is the probability of rolling a number less than 8?

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Solution

Favorable outcomes obtained when we roll a die are 1,2,3,4,5 and 6.

All the outcomes obtained are less than 8.

Let P(N<8) denotes the probability of obtaining a number less than 8 on rolling the die.

P(N<8)=Number of favourable outcomesTotal number of outcomes

In this case,
Number of favourable outcomes =6
Total number of outcomes =6

P(N<8)=66

P(N<8)=1

We can say that rolling a number less than 8 is a certain event because all the numbers on a die are less than 8.

Hence, the probability of rolling a number less than 8 is 1.

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