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Q.

Cards marked with numbers 5,6,7,,74 are placed in a bag and mixed thoroughly. One card is drawn at random from the bag, then the probability that the number on the card is a perfect square is


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a

2 35

b

3 35

c

4 35

d

1 

answer is B.

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Detailed Solution

Given that a bag has cards numbered from 5 to 74.
The total number of cards are 70.
Perfect squares in the range of 5 to 70 =9,16,25,36,49,64
Number of perfect squares in this range is 6.
Probability of getting a perfect square = Number of favourable outcomes Total outcomes
= 6 70 = 3 35
Probability of getting a perfect square is 3 35 .
Hence, option 2 is correct.
 
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Cards marked with numbers 5,6,7,…,74 are placed in a bag and mixed thoroughly. One card is drawn at random from the bag, then the probability that the number on the card is a perfect square is