Question

Cards numbered 1,3,5,7,9, 11,……,27,29are shuffled and put in a
box. If a card is drawn at random, find the probability that the number
on the card
i) is a prime number.
ii) is a factor of 21.
iii) is divisible by 3 and 5 both.
iv) is an even number

Answer 1

Answer:

1i) 5

1ii)

1iii)

1iv)

Step-by-step explanation:

1i) Let F be the event of drawing a prime number greater than 7 from the cards numbered from 1 to 30

Prime numbers greater than 7 from 1 to 30=11,13,17,19,23,29

No. of favorable outcomes=6

Total no. of possible outcomes =30

We know that, Probability P(F) =

(Total no.of possible outcomes)

(No.of favorable outcomes)

=30/6

=5/1

Therefore, the probability of drawing a prime number greater than 7 from the cards numbered 1 to 30= 5/1