Advertisements
Advertisements
Question
A ball is drawn at random from a box containing 12 white, 16 red and 20 green balls. Determine the probability that the ball drawn is red or white.
Solution
Total number of balls in the box = 48
Total possible outcomes on drawing a ball = 48
n(S) = 48
red or a white ball = 12 + 16 = 28 balls
Event of drawing a red or white ball = E = 28
n(E) = 28
Probability of not drawing a green ball = `(n(E))/(n(S)) = 28/48 = 7/12`
APPEARS IN
RELATED QUESTIONS
A card is drawn from a well-shuffled pack of 52 cards. Find the probability that the card drawn is jack or queen.
A card is drawn from a pack of 52 cards. Find the probability that the card drawn is an ace.
Thirty identical cards are marked with numbers 1 to 30. If one card is drawn at random, find the probability that it is a multiple of 4 or 6.
In a single throw of two dice, find the probability of a total of at most 10.
A bag contains 3 red balls, 4 blue balls and 1 yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is yellow.
From a well-shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is a card with number between 2 and 9.
All the three face cards of spades are removed from a well-shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting a black face card.
An unbiased dice is thrown. What is the probability of getting a number other than 4.
If the probability of winning a 5 game is 5/11. What is the probability of losing?
A card is drawn from a well-shuffled pack of 52 playing cards. Find the probability of the event, the card drawn is a red card.
Solution:
Suppose ‘S’ is sample space.
∴ n(S) = 52
Event A: Card drawn is a red card.
∴ Total red cards = `square` hearts + 13 diamonds
∴ n(A) = `square`
∴ p(A) = `square/("n"("s"))` ....formula
∴ p(A) = `26/52`
∴ p(A) = `square`
