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प्रश्न
Do the following activity -
Activity II : Decide the sample space yourself and fill in the following boxes.
उत्तर
Let us suppose the sample space be {1, 2, 3, 4, 5, 6, 7, 8, 9 10}
Event A: Getting an even number
A = {2, 4, 6, 8, 10}
∴ n(A) = 5
Now,`P(A)=(n(A))/(n(S)`
`=5/10`
`=1/2`
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संबंधित प्रश्न
A card is drawn from the pack of 25 cards labeled with numbers 1 to 25. Write the sample space for this random experiment.
A die is thrown. If A is the event that the number on upper face is less than 5, then write sample space and event A in set notation.
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.
A dice is thrown once. Find the probability of getting an even number or a multiple of 3.
In the month of March 2019, Find the days on which the date is a multiple of 5. (see the given page of the calender)
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).
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.
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.
Condition for event C : There should not be a woman member.
If two dice are rolled simultaneously, find the probability of the following event. The sum of the digits on the upper faces is 33.
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 ?
Two coins are tossed simultaneously. Write the sample space (S) and expected sample points in the given events by completing the activity.
- Event A: to get at least one head.
- Event B: to get no head.
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}`.
Two coins are tossed simultaneously. The probability of getting at the most one head is ______.
Form a ‘Road Safety Committee’ of two, from 2 boys (B1, B2) and 2 girls (G1, G2).
Complete the following activity to write the sample space :
- Committee of 2 boys = `{square}`
- Committee of 2 girls = `{square}`
- Committee of one boy and one girl = `{B_1G_1, B_1G_2, square, square}`
- ∴ Sample space (S) = `{(B_1 B_2),(B_1 G_1), square, square, (B_2 G_2),(G_1 G_2)}`
Assertion (A): A die is thrown once and the probability of getting an even number is `2/3`.
Reason (R): The sample space for even numbers on a die is {2, 4, 6}.
