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Answers
Answer:
(i) 9/10
(ii) 1/10
(iii) 1/5
Step-by-step explanation:
Total number of discs in the box n(E) = 90.
Two digit numbers = {10, 11,12,13...90}
Number of two digit numbers = 90 - 9 = 81
(i)
Let E₁ be the event of getting two-digit number.
n(E₁) = 81
Required probability P(A) = n(E₁)/n(E)
= 81/90
= 9/10.
(ii)
Let E₂ be the event of getting perfect square number.
n(E₂) = {1,4,9,16,25,36,49,64,81}
= 9
Required probability P(E₂) = n(E₂)/n(E)
= 9/90
= 1/10.
(iii)
Let E₃ be the event of getting a number divisible by 5.
n(E₃) = {5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90}
= 18.
Required probability P(E₃) = n(E₃)/n(S)
= 18/90
= 1/5.
Hope it helps!
Step-by-step explanation:
(i) Total numbers of favourable events = 81
Probability that it bears a two-digit number = 81/90 = 9/10
(ii) Perfect square numbers = 1, 4, 9, 16, 25, 36, 49, 64 and 81
Favourable numbers of events = 9
Probability of getting a perfect square number = 9/90 = 1/10
(iii) Numbers which are divisible by 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85 and 90
Favourable numbers of events = 18
Probability of getting a number divisible by 5 = 18/90 = 1/5