Question

An envelope contains 20 sheets of paper which are numbered with the number 1 to 20. If anyone sheet is drawn random what is a probability that a sheet has a number that is factor of 20​

Answer 1

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Solution(i):

Let E be event of drawing a card with number divisible by 2 or 3 from the cards with numbers 1 to 20

Numbers divisible by 2 or 3 from 1 to 20=2,3,4,6,8,9,10,12,14,15,16,18,20

No. of favorable outcomes=13

Total no. of possible outcomes =20

We know that, Probability P(E) =(Total no.of possible outcomes)(No.of favorable outcomes)=2013

Therefore, the probability that a number on the card selected from numbers 1 to 20 divisible by 2 and 3 is 2013

Solution(ii):

Let F be event of drawing a card with prime number from the cards with numbers 1 to 20

Prime numbers from 1 to 20=2,3,5,7,11,13,17,19

No. of favorable outcomes=8

Total no. of possible outcomes =20

We know that, Probability P(F) =(Total no.of possible outcomes)(No.of favorable outcomes)=208=52

Therefore, the probability that a card with prime number is selected from numbers 1,2,3,...,20  =52

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