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Q.

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 1 2   then the number of favourable cases to the event is


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a

48

b

50

c

100

d

85 

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 1 2  . Probability of the event= Number of favorable outcomes Total number of outcomes  
Let the number of favorable outcomes be x.
⇒ 1 2  = x 100 ⇒x =  100 2 ⇒ x = 50   
Hence, the favorable outcomes with drawing a card is 50.
Therefore, the correct answer is option (2).
 
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