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प्रश्न
A dice is thrown once. Find the probability of getting an even number or a multiple of 3.
उत्तर
Sample space = {1, 2, 3, 4, 5, 6}
n(S) = 6
E = the event of getting an even number or a multiple of 3 = {2, 3, 4, 6}
n(E) = 4
Probability of getting an even number or a multiple of 3 = P(S)
= `(n(E))/(n(S))`
= `4/6`
= `2/3`
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संबंधित प्रश्न
Write the sample space for selecting a day randomly of the week.
‘A coin is tossed’. Write the sample space ‘S’.
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).
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
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In a single throw of a dice, find the probability of getting a number not greater than 4.
If two dice are rolled simultaneously, find the probability of the following event.
The digit on the first die is greater than the digit on second die.
There are 15 tickets in a box, each bearing one of the numbers from 1 to 15. One ticket is drawn at random from the box. Find the probability of event that the ticket drawn - shows a number which is a multiple of 5.
Two coins are tossed simultaneously. Complete the following activity of writing of the sample space (S) and expected outcomes of the events :
1) Event A : to get at least one head.
2) Event B : to get no head.
Activity : If two coins are tossed simultaneously
∴ s = {`square , "HT","TH", square`}
1) Event A : at least getting one head.
∴ A = {`"HH" , square , "TH"`}
2) Event B : to get no head.
∴ B = {`square`}
A die is thrown. Write the sample space. If P is the event of getting an odd number, then write the event P using set notation.
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}`.
