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प्रश्न
Write sample space ‘S’ and number of sample point n(S) for the following experiment. Also write events A, B, C in the set form and write n(A), n(B), n(C).
Two digit numbers are formed using digits 0, 1, 2, 3, 4, 5 without repetition of the digits.
Condition for event A : The number formed is even
Condition for event B : The number formed is divisible by 3.
Condition for event C : The number formed is greater than 50.
उत्तर
Sample Space (S) = {10, 12, 13, 14, 15, 20, 21, 23, 24, 25, 30, 31, 32, 34, 35, 40, 41, 42, 43, 45, 50, 51, 52, 53, 54}
∴ n(S) = 25
A = {10, 12, 14, 20, 24, 30, 32, 34, 40, 42, 50, 52, 54}
∴ n(A) = 13
B = {12, 15, 21, 24, 30, 42, 45, 51, 54}
∴ n(B) = 9
C = {51, 52, 53, 54}
∴ n(C) = 4
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संबंधित प्रश्न
A die is thrown. Write the sample space (S) and number of sample points n(S) and also write event A of getting even number on the upper surface and write n(A).
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a black ball.
A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn
not a black ball.
In a single throw of a dice, find the probability of getting a number less than 8.
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Form a ‘Road safety commitee’ of two, from 2 boys (B1, B2) and 2 girls(G1, G2). Complete the following activity to write the sample space.
(a) Committee of 2 boys = 
b) Committee of 2 girls =
(c) Committee of one boy and one girl =
Write sample space ‘S’ and number of sample point n(S) for the following experiment. Also write events A, B, C in the set form and write n(A), n(B), n(C).
One die is rolled,
Event A : Even number on the upper face.
Event B : Odd number on the upper face.
Event C : Prime number on the upper face.
Write sample space ‘S’ and number of sample point n(S) for the following experiment. Also write events A, B, C in the set form and write n(A), n(B), n(C).
From three men and two women, environment committee of two persons is to be formed.
Condition for event A : There must be at least one woman member.
Condition for event B : One man, one woman committee to be formed.
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If two coins are tossed, find the probability of the following event.
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If two dice are rolled simultaneously, find the probability of the following event.
The sum of the digits on the upper faces is at least 10.
A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is a multiple of 5 ?
Do the following activity -
Activity I : Total number of students in your class, n(S) =
Number of students from your class, wearing spectacles, n(A) = 
Probability of a randomly selected student wearing spectacles, P(A) =
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Do the following activity -
Activity II : Decide the sample space yourself and fill in the following boxes.
Two dice are thrown, find the probability of getting
(1) The sum of numbers on their upper faces is at least 10.
(2) The sum of the numbers on their upper faces is divisible by 5.
(3) The number on the upper face of the first die is greater than the number on the upper face of the second die.
There are 9 tickets in a box, each bearing one of the numbers from 1 to 9.
One ticket is drawn at random from the box.
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Complete the following activity from the given information:
Activity:
S = {__________}
n(S) = ____________
A = {________}
n(A) = ___________
A two-digit number is formed with digits 2, 3, 5 without repetition. Write the sample space
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Activity: Let ‘S’ be the sample space, when two coins are tossed simultaneously.
∴ S = `{square, HT, TH, square}`
i. Event A: to get at least one head.
∴ A = `{HH, square, TH}`
ii. Event B: to get no head.
∴ B = `{square}`.
