There are 100 cards numbered from 1 to 100 in a box. If a card is drawn from the box and the probability of an event is $12$ then the number of favourable cases to the event is

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100

answer is B.

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Detailed Solution

It is given that a box contains 100 cards numbered from 1 to 100.
The total outcomes are 100.
Probability of drawing a card is

12

Probability of the event = Number of favorable outcomes Total number of outcomes

Let the number of favorable outcomes be x.

⇒ 12 = x 100 ⇒ x = 1002 ⇒ x = 50

Hence, the favorable outcomes with drawing a card is 50.
Therefore, the correct answer is option (2).

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