Question

5. There are 100 cards in a bag on which numbers from 1 to 100 are written. A card is
taken out from the bag at random. Find the probability that the number on the
selected card
(A) Is divisible by 9
(B) Is a perfect square​

Answer 1

Answer:

Answer:

1) Total cards =100

the no those are divisible by 9 and are perfect square are 9,36,81

Therefore probability that the number on the selected card is divisible by 9 and is a perfect square is 3/100

2)Total cards =100

the prime numbers are greater than 80 are 83,89,97

Therefore probability that the number on the selected card is a prime number greater than 100 is 3/100

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Answer 2

Given :

• Total Number of Cards in the bag is 100.

To Find :

• Probability of getting a card divisible by 9.
• Probability of getting a perfect square.

Solution :

$\longmapsto\tt{Total\:Outcomes=100}$

1. Probability of getting a card divisible by 9 :

$\longmapsto\tt{Favourable\:Outcomes=11}$

= 9,18,27,36,45,54,63,72,81,90,99..

$\longmapsto\tt\bf{Probability=\frac{No.\:of\:Fav.\:Outcomes}{Total\:No.\:of\:Outcomes}}$

$\longmapsto\tt{\dfrac{11}{100}}$

$\longmapsto\tt\bf{0.11}$

So , The Probability of getting a card which is divisible by 9 is 0.11 ..

_______________________

2. Probability of getting a card as a perfect square :

$\longmapsto\tt{Favourable\:Outcomes=10}$

= 1,4,9,16,25,36,49,64,81,100..

$\longmapsto\tt\bf{Probability=\frac{No.\:of\:Fav.\:Outcomes}{Total\:No.\:of\:Outcomes}}$

$\longmapsto\tt{\dfrac{1{\cancel{0}}}{10{\cancel{0}}}}$

$\longmapsto\tt\bf{0.1}$

So , The Probability of getting a card which is a perfect square is 0.1 ..