Advertisements
Advertisements
Question
Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is a face card
Solution
In a pack of 52 playing cards, there are 2 red queens and 2 black jacks.
Red queens and black jacks are removed from the pack. Then,
Number of remaining cards = 52 − 4 = 48
∴ Total number of outcomes = 48
There are 12 face cards in the pack, out of which 2 red queens and 2 black jacks are removed.
Number of face cards in the remaining pack of cards = 12 − (2 + 2) = 8
So, the favourable number of outcomes are 8.
∴ P(drawing a face card) =
APPEARS IN
RELATED QUESTIONS
In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1to 12 classes in the school and each class has two sections, find how many trees were
planted by the students. Which value is shown in this question?
A box contains 80 discs which are numbered from 1 to 80. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.
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 black card
A bag contains 3 red and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red.
A number is chosen at random from the number –3, –2, –1, 0, 1, 2, 3. What will be the probability that square of this number is less then or equal to 1?
It is known that a box of 200 electric bulbs contains 16 defective bulbs. One bulb is taken out at random from the box. What is the probability that the bulb drawn is defective.
A lot consists of 144 ballpoint pens of which 20 are defective and others good. Tanvy will buy a pen if it is good, but will not buy it if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that she will buy it,
A box contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is divisible by 2 or 3.
A game consists of tossing a one-rupee coin three times, and noting its outcome each time. Find the probability of getting at least two tails.
Three different coins are tossed simultaneously. Find the probability of getting exactly one head.
A bag contains 15 balls, out of which some are white and the others are black. If the probability of drawing a black ball at random from the bag is `2/3`, then find how many white balls are there in the bag.
A card is drawn at random from a pack of 52 playing cards. Find the probability of drawing a card that is neither a spade nor a king.
In a single throw of a die, find the probability that the number:
(i) will be an even number.
(ii) will be an odd number.
(iii) will not be an even number.
Three identical coins are tossed together. What is the probability of obtaining:
all heads?
Two coins are tossed together. What is the probability of getting:
(i) at least one head
(ii) both heads or both tails.
Two coins are tossed together. Find the probability of getting: exactly one tail
Two dice are rolled, find the probability that the sum is equal to 4
Which of the following is not a random experiment?
A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is a perfect square?
Three coins are tossed simultaneously. What is the probability of getting at least one head?
