Advertisements
Advertisements
Question
A fair die is thrown two times. Find the probability that sum of the numbers on them is 5
Solution
When two dice are thrown, the sample space is
S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
∴ n (S) = 36
Let event A: Sum of the numbers on uppermost face is 5.
∴ A = {(1, 4), (2, 3), (3, 2), (4 ,1)}
∴ n(A) = 4
∴ P(A) = `("n"("A"))/("n"("S"))`
= `4/36`
= `1/9`.
APPEARS IN
RELATED QUESTIONS
A fair die is thrown two times. Find the probability that sum of the numbers on them is at least 8
Two cards are drawn from a pack of 52 cards. Find the probability that one is a face card and the other is an ace card
Two cards are drawn from a pack of 52 cards. Find the probability that both are from the same suit.
Two cards are drawn from a pack of 52 cards. Find the probability that one is a heart card and the other is a non-heart card
Three cards are drawn from a pack of 52 cards. Find the chance that two are queen cards and one is an ace card
Three cards are drawn from a pack of 52 cards. Find the chance that at least one is a diamond card
Three cards are drawn from a pack of 52 cards. Find the chance that they are a king, a queen, and a jack
Letters of the word MOTHER are arranged at random. Find the probability that in the arrangement vowels are never together
15 professors have been invited for a round table conference by Vice chancellor of a university. What is the probability that two particular professors occupy the seats on either side of the Vice chancellor during the conference
A bag contains 7 black and 4 red balls. If 3 balls are drawn at random find the probability that all are black
A bag contains 75 tickets numbered from 1 to 75. One ticket is drawn at random. Find the probability that, number on the ticket is a prime number or greater than 40
Form a group of 4 men, 4 women and 3 children, 4 persons are selected at random. Find the probability that, no child is selected.
A number is drawn at random from the numbers 1 to 50. Find the probability that it is divisible by 2 or 3 or 10
Select the correct option from the given alternatives :
There are 5 girls and 2 boys, then the probability that no two boys are sitting together for a photograph is
Select the correct option from the given alternatives :
There are 2 shelves. One shelf has 5 Physics and 3 Biology books and the other has 4 Physics and 2 Biology books. The probability of drawing a Physics book is
Select the correct option from the given alternatives :
Two friends A and B apply for a job in the same company. The chances of A getting selected is `2/5` and that of B is `4/7`. The probability that both of them get selected is
Solve the following:
A family has two children. One of them is chosen at random and found that the child is a girl. Find the probability that both the children are girls
A coin is tossed 9 times. The probability of obtaining at most one head is ______
If three dices are thrown then the probability that the sum of the numbers on their uppermost faces to be atleast 5 is ______.
The probability that three cards drawn from a pack of 52 cards, all are red is ______.
There are two bags. One bag contains 4 blue pens and 3 black pens. The other bag contains 7 red pens and 3 black pens. If a bag is selected at random and from it, a pen is drawn, the probability that the pen is black is ______
A coin is tossed 2n times. The chance that the number of times one gets head is not equal to the number of times one gets tail is ______.
Let f(x) = `{{:(1/x^2",", 1 < x < oo"," "be the p.d.f of"),(0",", "otherwise"):}`
a r.v. X. If C1 = {x : 1 < x <2} and C2 = {x : 4 < x < 5}, then P(C1 ∪ C2) =______.
A cupboard contains 3 pink, 3 black and 5 blue shirts well mixed. A person pulls out 2 shirts at random from cupboard. The probability that they match is ______.
In a simultaneous toss of five coins, the probability of getting exactly four tails is ______.
A die is thrown four times. The probability of getting perfect square in at least one throw is ______.
Probability that a person will develop immunity after vaccinations is 0.8. if 8 people are given the vaccine, then probability that all develop immunity is = ______.
Probability of guessing correctly atleast 7 out of 10 answers in a ‘True’ or ‘False’ test is equal to ______.
If 15 coupons are numbered 1, 2, 3, ..., 15, respectively. 7 coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is almost 9, is ______.
The probability of India winning a test match against South Africa is 1/2 assuming independence form match to match played. The probability that in a match series India's second win occurs at the third day is ______.
