Advertisements
Advertisements
Question
A box contains 5 red marbels, 8 white marbles and 4 green marbles, One marble is taken out of the box at ramdom. What is the probability that the marble taken out will be not green?
Solution
A box contains 5 red, 4 green and 8 white marbles and a marble is drawn at random.
TO FIND: Probability of getting a marble not green
Total number of marble: `5+4+8=17`
Total number of green marbles is 4
We know that PROBABILITY =`" Number of favourable event"/"Total number of event"`
Hence probability of getting green marbles `
p(overlineE)=4/17`
We know that sum of probability of occurrence of an event and probability of non occurrence of an event is 1.
`P(overlineE)+P(overlineE)=1`
`4/17+P(overlineE)=1`
` P(E)=1-4/17`
` P(E)=(17-4)/27=13/17`
Hence the probability of getting green marbles is `P(overlineE)=13/17`
APPEARS IN
RELATED QUESTIONS
There are three boys and two girls. A committee of two is to be formed. Find the probability of events that the committee contains :
a) At least one girl.
b) One boy and one girl
c) Only boys
A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a black king.
Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is a prime number less than 20.
A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the cards thoroughly. Find the probability that the number on the drawn card is an even prime number.
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`
A dice is rolled twice. Find the probability that 5 will not come up either time
All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting red card
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
A month is selected at random in a year. The probability that it is March or October, is
The probability of getting an even number, when a die is thrown once is
A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that the drawn card is neither a king nor a queen.
A bag contains 18 balls out of which x balls are red. If the ball is drawn at random from the bag, what is the probability that it is not red?
A coin is tossed. What is the probability of getting:
a tail?
Three identical coins are tossed together. What is the probability of obtaining:
exactly one head?
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
There are 24 balls in a pot. If 3 of them are Red, 5 of them are Blue and the remaining are Green then, what is the probability of picking out a Blue ball?
There are 24 balls in a pot. If 3 of them are Red, 5 of them are Blue and the remaining are Green then, what is the probability of picking out a Red ball?
If a pair of coins is tossed, then the number of outcomes are 2.
A dice is rolled once. What is the probability that the number on top will be a multiple of 3
Three coins are tossed simultaneously. What is the probability of getting at least one head?
