Advertisements
Advertisements
Question
A bag contains 5 red balls, 6 white balls, 7 green balls, 8 black balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is black or red
Solution
Sample space (S) = 5 + 6 + 7 + 8
n(S) = 26
Let A be the event of getting a black ball
n(A) = 8
P(A) = `("n"("A"))/("n"("S")) = 8/26`
Let B be the event of getting a red ball
n(B) = 5
P(B) = `("n"("B"))/("n"("S")) = 5/26`
Probability of getting black or red ball
P(A ∪ B) = P(A) + P(B)
= `8/26 + 5/26`
= `13/26`
= `1/2`
APPEARS IN
RELATED QUESTIONS
Write the sample space for selecting two balls from a bag containing 6 balls numbered 1 to 6 (using tree diagram).
At a fete, cards bearing numbers 1 to 1000, one number on one card are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square number greater than 500, the player wins a prize. What is the probability that the first player wins a prize?
At a fete, cards bearing numbers 1 to 1000, one number on one card are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square number greater than 500, the player wins a prize. What is the probability that the second player wins a prize if the first has won?
Two unbiased dice are rolled once. Find the probability of getting the sum as 1
Three fair coins are tossed together. Find the probability of getting all heads
A bag contains 5 red balls, 6 white balls, 7 green balls, 8 black balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is white
In a box there are 20 non-defective and some defective bulbs. If the probability that a bulb selected at random from the box found to be defective is `3/8` then, find the number of defective bulbs
Some boys are playing a game, in which the stone thrown by them landing in a circular region is considered as win and landing other than the circular region is considered as a loss. What is the probability to win the game? (π = 3.14)
Two customers Priya and Amuthan 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 day. What is the probability that both will visit the shop on the same day?
In a game, the entry fee is ₹ 150. The game consists of tossing a coin 3 times. Dhana bought a ticket for entry. If one or two heads show, she gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise, she will lose. Find the probability that she gets double entry fee
