Advertisements
Advertisements
Question
A bag contains 15 balls of three different colours: Green, Black and Yellow. A ball is drawn at random from the bag. The probability of green ball is `1/3`. The probability of yellow ball is `1/5`. What is the probability of blackball?
Advertisements
Solution
Let event G = A Green ball is sleeted from the bag.
Given: P(G) = `1/3`
Event B = A Blackball is selected from the bag.
To find P(B).
Event Y = A Yellow ball is selected from the bag.
Given: P(Y) = `1/5`.
Since the events are mutually exclusive and exhaustive,
P(G) + P(B) + P(Y) = 1
∴ `1/3 + "P"("B") + 1/5` = 1
∴ P(B) + `8/15` = 1
∴ P(B) = `1 - 8/15 = 7/15`
∴ Probability of a black ball selected is `7/15`.
APPEARS IN
RELATED QUESTIONS
A fair die is thrown two times. Find the chance that product of the numbers on the upper face is 12.
A fair die is thrown two times. Find the chance that sum of the numbers on the upper face is 10.
A fair die is thrown two times. Find the chance that Sum of the numbers on the upper face is at least 10.
A fair die is thrown two times. Find the chance that both the times die shows same number (doublet).
Two cards are drawn from a pack of 52 cards. Find the probability that both are black.
Two cards are drawn from a pack of 52 cards. Find the probability that both are face cards.
Two cards are drawn from a pack of 52 cards. Find the probability that both are from same suit.
Four cards are drawn from a pack of 52 cards. Find the probability that 3 are king and 1 is jack.
Four cards are drawn from a pack of 52 cards. Find the probability that all cards are club and one of them a jack.
A room has three sockets for lamps. From a collection of 10 light bulbs of which 6 are defective, a person selects 3 bulbs at random and puts them in socket. What is the probability that the room is lit?
The letters of the word LOGARITHM are arranged at random. Find the probability that Exactly 4 letters between G and H.
The letters of the word LOGARITHM are arranged at random. Find the probability that Begins with O and ends with T.
The letters of the word LOGARITHM are arranged at random. Find the probability that start with vowel and end with ends with consonant.
The letters of the word SAVITA are arranged at random. Find the probability that vowels are always together.
