Math, asked by adityakumar88899, 1 year ago

solve the question....

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Answered by siddhartharao77
2

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!

Answered by Siddharta7
2

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

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