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प्रश्न
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}.
पर्याय
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.
उत्तर
A is false, R is true.
Explanation:
In assertion, when a dice is thrown the total outcomes = 6
Even numbers = {2, 4, 6} i.e. 3
Required probability = `3/6 = 1/2`
So, assertion is false
In reason part, the even number on a dice is {2, 4, 6}
So, reason is true.
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संबंधित प्रश्न
‘A coin is tossed’. Write the sample space ‘S’.
A die is thrown, find the probability of the event of getting a number less than 3.
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.
A dice is thrown once. Find the probability of getting an even number.
For the following experiment write sample space ‘S’ and number of sample points n(S).
One coin and one die are thrown simultaneously.
For the following experiment write sample space ‘S’ and number of sample points n(S).
Two-digit numbers are formed using digits 2, 3 and 5 without repeating a digit.
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 II : Decide the sample space yourself and fill in the following boxes.
Write a sample space if two coins are tossed simultaneously
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}`.
