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
Answers
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