Question

Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random , find the probabilityof the number drawn 1. An odd number 2. A perfect square 3. Divisible by 5 4. A prime number less than 20

Answer 1

Answer:

(i) The probability of an odd number from the cards numbered 11 to 60= 1/2

(ii) The probability of drawing a perfect square number from the cards numbered from 11 to 60= 2/25

(iii) The probability of drawing a number divisible by 5 from the cards numbered from 11 to 60= 1/5

(iv) The probability of drawing a prime number less than 20 from the cards numbered from 11 to 60= 2/25

Step-by-step explanation:

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(i) Odd numbers from 11 to 60

11,13,15,.....,89

No. of favorable outcomes=25

Total no. of possible outcomes =50

We know that, Probability P(E) =

(Total no.of possible outcomes)/

(No.of favorable outcomes= 25/50=1/2

(ii)

Perfect square numbers from 11 to 60=

16,25,36,49

No. of favorable outcomes=4

Total no. of possible outcomes =50

We know that, Probability P(F) =

(Total no.of possible outcomes)/

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

(iii) Numbers divisible by 5 from 11 to 60=

15,20,25,30,35,40,45,50,55,60

No. of favorable outcomes=10

Total no. of possible outcomes =50

We know that, Probability P(G) =

(Total no.of possible outcomes)/

(No.of favorable outcomes) = 10/50= 1/5

(iv)

Prime numbers less than 20 from 11 to 60=

11,13,17,19

No. of favorable outcomes=4

Total no. of possible outcomes =50

We know that, Probability P(H) =

(Total no.of possible outcomes)/

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