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  • There are 100 cards in a bag on which numbers from 1 to 100 are written. A card is taken out of the bag at random. Find the probability that the number on the selected cards (1) is divisible by 9 and is a perfect square (2) is a prime number great

There are 100 cards in a bag on which numbers from 1 to 100 are written. A card is taken out of the bag at random. Find the probability that the number on the selected cards (1) is divisible by 9 and is a perfect square (2) is a prime number greater than 80 

 

 

 

 
 
 
 
 

Answers (1)

Total no. of cards = n(T) = 100 

 1) divisible by 9 and are perfect squares = {9,36,81}

 n (E_1) = 3

the probability that the no. is divisible by 9 and is perfect square=

P_1 = \frac{n (E_1)}{n (T)} = \frac{3}{100}

2) prime no's greater than 80 = {83,89,97} 

n (E_2) = 3

the probability that the no. is prime (>80) = 

P_2 = \frac{n (E_2)}{n (T)} = \frac{3}{100}

 

Posted by

Ravindra Pindel

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