Advertisements
Advertisements
प्रश्न
Two dice are thrown. Find the probability of the event that the product of numbers on their upper faces is 12.
उत्तर
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 A = event that the product of numbers on their upper faces is 12
A = {(2,6), (3, 4), (4,3), (6,2)}
n(A) = 4
`"Probability of the event A"="Number of favourable outcomes"/"Total number of outcomes"=4/36=1/9`
APPEARS IN
संबंधित प्रश्न
Two digit numbers are formed using the digits 0, 1, 2, 3, 4, 5 where digits are not repeated.
P is the event that the number so formed is even.
Q is the event that the number so formed is greater than 50.
R is the event that the number so formed is divisible by 3.
Then write the sample space S and events P, Q, R using set notation.
Two different coins are tossed simultaneously. The probability of getting at least one head is
(A)`1/2`
(B)`1/8`
(C)`3/4`
(D)`7/8`
Choose the correct alternative answer for the following question.
If n(A) = 2, P(A) = `1/5`, then n(S) = ?
Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is of red colour
All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a red card
From the letters of the word ''MOBILE", a letter is selected. The probability that the letter is a vowel, is
The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is
Cards numbered 1 to 30 are put in a bag. A card is drawn at random from the bag. Find the probability that the number on the drawn card is a prime number greater than 7.
A jar contains 54 marbles, each of which some are blue, some are green and some are white. The probability of selecting a blue marble at random is `1/3` and the probability of selecting a green marble at random is `4/9`. How many white marbles does the jar contain?
A carton consists of 100 shirts of which 88 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. But Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Rohit.
A box contains a certain number of balls. On each of 60% balls, letter A is marked. On each of 30% balls, letter B is marked and on each of remaining balls, letter C is marked. A ball is drawn from the box at random. Find the probability that the ball drawn is:
- marked C
- A or B
- neither B nor C
Find If A If tan 2A = cot (A-24°)
From 10 identical cards, numbered 1, 2, 3, ……, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of
2 or 3
Two coins are tossed together. Find the probability of getting: exactly one tail
Frame two problems in calculating probability, based on the spinner shown here.
Total number of outcomes, when a ball is drawn from a bag which contains 3 red, 5 black and 4 blue balls is ______.
One or more outcomes of an experiment make an event.
Sonia picks up a card from the given cards.
Calculate the probability of getting B card bearing number > 7
A card is drawn at random from a pack of well shuffled 52 playing cards. Complete the following activity to find the probability that the card drawn is:
Event A: The card drawn is an ace.
Event B: The card drawn is a spade.
Activity: 'S' is the sample space.
∴ n(S) = 52
Event A: The card drawn is an ace.
∴ n(A) = `square`
P(A) = `square` ......(formula)
∴ P(A) = `square/52`
∴ P(A) = `square/13`
Event B: The card drawn is a spade.
∴ n(B) = `square`
P(B) = `(n(B))/(n(S))`
∴ P(B) = `square/4`
A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is a prime number?
