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प्रश्न
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)
उत्तर
The dates multiple of 5 are 5, 10, 15, 20, 25 and 30.
From the calender, we can observe on these dates, the days fall are Tuesday,
Sunday, Friday, Wednesday, Monday, Saturday
Sample Space = {Tuesday, Sunday, Friday, Wednesday, Monday, Saturday}
∴ n(S) = 6
Hence, the total number days on which the date is a multiple of 5 is 6.
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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 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 White ball.
In a single throw of a dice, find the probability of getting a number not greater than 4.
A dice is thrown once. Find the probability of getting an even number.
If two coins are tossed, find the probability of the following event.
Getting no head ?
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 an even number.
A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is an odd number?
Do the following activity -
Activity II : Decide the sample space yourself and fill in the following boxes.
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`}
Two coins are tossed simultaneously. Write the sample space ‘S’.
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.
When a dice is thrown, the number of sample points in the sample space are ______
A two-digit number is formed with digits 2, 3, 5 without repetition. Write the sample space
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}`.
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)}`
