Advertisements
Advertisements
Question
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
Solution
In a pack of 52 playing cards, there are 2 black jacks, 2 black queens and 2 black kings.
All the black face cards are removed from the pack. Then,
Number of remaining cards = 52 − 6 = 46
∴ Total number of outcomes = 46
Number of black cards in the remaining pack of cards = 26 − 6 = 20
So, the favourable number of outcomes are 20.
∴ P(getting a black card) =\[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{20}{46} = \frac{10}{23}\]
APPEARS IN
RELATED QUESTIONS
Three different coins are tossed together. Find the probability of getting at least two heads.
The probability of getting an even number, when a die is thrown once, is :
Cards bearing numbers 2, 3, 4, ..., 11 are kept in a bag. A card is drawn at random from the bag. The probability of getting a card with a prime number is
A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability?
that the difference of the numbers appearing on the top of two dice is 2.
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 king
From a well shuffled pack of cards, a card is drawn at random. Find the probability of getting a black queen.
If three coins are tossed simultaneously, then the probability of getting at least two heads, is
Two different coins are tossed simultaneously. The probability of getting at least one head is
Two dice are thrown together. The probability of getting the same number on both dice is
A two digit number is to be formed using the digits 0, 1, 2, 3. Repetition of the digits is allowed. Find the probability that a number so formed is a prime number.
A game of chance consists of spinning an arrow, which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. Find the probability that the arrow will point at any factor of 8.
A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets, a green balloon.
In a certain race, there are three boys X,Y, Z. The winning probability of X is twice than Y and the winning probability of Y is twice than Z. If P(X) + P(Y) + P(Z) = 1, then find the winning probability of each girl.
A die is thrown once. Find the probability of getting a number which
lies between 2 and 6.
In a single throw of a die, find the probability of getting :
(i) 8
(ii) a number greater than 8
(iii) a number less than 8
You are walking along a street. If you just choose a stranger crossing you, what is the probability that his next birthday will fall on a Sunday?
Two dice are rolled, find the probability that the sum is less than 13
Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?
At a Birthday Party, the children spin a wheel to get a gift. Find the probability of getting a ball
Sonia picks up a card from the given cards.
Calculate the probability of getting a G card
