Question

A box contains 10 cards on which one of the numbers 1, 2, 3 · · · 10 is written in each card.One card is taken

from the box at random.

a) What is the probability of getting a an even numbered card

b) What is the probability of getting an odd numbered card?

c) What is the probability of getting a card on which a prime number is written ?

d) What is the probability of getting a perfect square on the card.​

Answer 1

a) there are 4even numbers from 1 to 10 so the probability of getting a even number card=4/10 after reducing it will be 2/5 so the probability of getting a even number card is 2/5

b) there are 4odd number from 1 to 10 so the probability of getting a odd number card is 4/10 after reducing it will be 2/5 so the probability of getting a odd number card is 2/5

c) there are 4 prime numbers from 1 to 10 (2,3,5,7)

so the probability of getting a prime number card is 4/10 =2/5 so the probability of getting a prime number card is 2/5

d) there are 3 perfect square number between 1 to 10 (4,6,9) so the probability of getting a perfect square number is 3/10