Advertisements
Advertisements
प्रश्न
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}`.
उत्तर
Activity: Let ‘S’ be the sample space, when two coins are tossed simultaneously.
∴ S = {HH, HT, TH, TT}
Event A: to get at least one head.
∴ A = {HH, HT, TH}
Event B: to get no head.
∴ B = {TT}.
APPEARS IN
संबंधित प्रश्न
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 coin is tossed’. Write the sample space ‘S’.
There are 15 tickets bearing the numbers from 1 to 15 in a bag and one ticket is drawn from this bag at random. Write the sample space (S) and n(S).
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
a black ball.
A dice is thrown once. Find the probability of getting an even number.
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 coin and one die are thrown simultaneously.
Condition for event A : To get head and an odd number.
Condition for event B : To get a head or tail and an even number.
Condition for event C : Number on the upper face is greater than 7 and tail on the coin.
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 II : Decide the sample space yourself and fill in the following boxes.
In the following experiment write the sample space S, Number of sample points n(S), write the event P in set form and find n(P):
Form two-digit numbers using the digit 0, 1, 2, 3, 4, without repeating the digits, P is the event, that the number so formed is even.
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 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.
Event A: Ticket shows an even number.
Complete the following activity from the given information:
Activity:
S = {__________}
n(S) = ____________
A = {________}
n(A) = ___________
Write a sample space if two coins are tossed simultaneously
Write a sample space when a die is thrown
If one coin is tossed, write the sample space ‘S’.
Two coins are tossed simultaneously. Complete the following activity to write the sample space and the given events A and B in the set form:
Event A: To get at least one head.
Event B: To get no head.
Activity:
Two coins are tossed simultaneously.
∴ Sample space is
S = `{square, HT, TH, square}`
Event A: To get at least one head.
∴ A = `{square, HT, TH}`
Event B: To get no head.
∴ B = `{square}`
