Advertisements
Advertisements
Question
In a single throw of a dice, find the probability of getting 5.
Solution
Sample space = {1, 2, 3, 4, 5, 6}
n(S) = 6
E = event of getting a 5 on a throw of dice = {5}
n(E) = 1
Probability of getting a 5 = P(S)
= `(n(E))/(n(S))`
= `1/6`
APPEARS IN
RELATED QUESTIONS
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 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 not greater than 4.
In a single throw of a dice, find the probability of getting a number less than 8.
The arrow is rotated and it stops randomly on the disc. Find out on which colour it may stop.
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.
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) = ___________
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}`
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}.