Question

33. Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box,
find the probability that the number on the drawn card is (i) an odd number (ii) a perfect
square number (ii) divisible by 5.​

Answer 1

Answer:[i]=1/2

[ii]=2/25

[iii]=1/5

Step-by-step explanation:

Solution(i]

We know that, Probability P(E) = (Total no.of possible outcomes)/(No.of favorable outcomes)=25/50=1/2

Therefore, the probability of an odd number from the cards numbered 11 to 60= 1/2

Solution(ii):

Let F be the event of drawing a perfect square number from the cards numbered from 11 to 60

We know that, Probability P(F) = (Total no.of possible outcomes)/

(No.of favorable outcomes)=4/50=2/25

​  

Therefore, the probability of drawing a perfect square number from the cards numbered from 11 to 60= 2/25

Solution(iii):

Let G be the event of drawing a number divisible by 5 from the cards numbered from 11 to 60

We know that, Probability P(G) = (Total no.of possible outcomes)

/(No.of favorable outcomes)=10/5-\0=1/5

​

​Therefore, the probability of drawing a number divisible by 5 from the cards numbered from 11 to 60= 1/5

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