Advertisements
Advertisements
Question
Two dice are thrown simultaneously. What is the probability that:
- 4 will not come up either time?
- 4 will come up at least once?
Solution
When two dice are thrown, total possible outcomes = 36
i. Favorable outcomes for 4 will not come up either time:
{(1, 1),(1, 2),(1, 3),(1, 5),(1, 6)
(2, 1),(2, 2),(2, 3),(2, 5),(2, 6)
(3, 1),(3, 2),(3, 3),(3, 5),(3, 6)
(5, 1),(5, 2),(5, 3),(5, 5),(5, 6)
(6, 1),(6, 2),(6, 3),(6, 5),(6, 6)}
Number of favorable outcomes = 25
P(4 will not come up) = `25/36`
ii. P(4 will come up ones) = 1 – P(4 will not come up either time)
P(4 will come up once) = `1 - 25/36`
P(4 will come up once) = `(36 - 25)/36 = 11/36`
APPEARS IN
RELATED QUESTIONS
In a simultaneous throw of a pair of dice, find the probability of getting an even number on first
A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is a heart
A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is Red
Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the probability that both will visit the shop on consecutive days?
A number is selected at random from first 50 natural numbers. Find the probability that it is a multiple of 3 and 4.
4 defective pens are accidentally mixed with 16 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is drawn at random from the lot. What is the probability that the pen is defective?
Each card bears one letter from the word ‘mathematics’ The cards are placed on a table upside down. Find the probability that a card drawn bears the letter ‘m’.
One card is drawn from a well-shuffled deck of 52 cards. The probability of getting a king of red colour is ____________.
Assertion (A): The probability that a leap year has 53 Sundays is `2/7`.
Reason (R): The probability that a non-leap year has 53 Sundays is `5/7`.
A bag contains 3 red and 2 blue marbles. A marble is drawn at random. ‘The probability of drawing a black marble is ______.
