Advertisements
Advertisements
प्रश्न
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 queen
उत्तर
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 4 queen cards in the pack, out of which 2 red queens are removed.
Number of queens in the remaining pack of cards = 4 − 2 = 2
So, the favourable number of outcomes are 2.
∴ P(getting a queen) = \[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{2}{48} = \frac{1}{24}\]
APPEARS IN
संबंधित प्रश्न
A number x is selected at random from the numbers 1, 2, 3, and 4. Another number y is selected at random from the numbers 1, 4, 9 and 16. Find the probability that product of x and y is less than 16.
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 divisible by 5
In fig. 7 is shown a disc on which a player spins an arrow twice. The fraction `a/b` is formed, where 'a' is the number of sector on which arrow stops on the first spin and 'b' is the number of the sector in which the arrow stops on second spin. On each spin, each sector has equal chance of selection by the arrow. Find the probability that the fraction `a/b>1.`
A bag contains cards numbered from 1 to 25. A card is drawn at random from the bag. The probability that the number on this card is divisible by both 2 and 3 is
(A)`1/5`
(B)`3/25`
(C)`4/25`
(D)`2/25`
A bag contains 3 red balls and 5 black balls. A ball is draw at random from the bag. What is the probability that the ball drawn is not red?
Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is not divisible by 3
In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green. One card is drawn from the bag at random. Find the probability that it has the figure of green square.
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?
The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is
In a family of 3 children, find the probability of having at least one boy.
Two different dice are rolled simultaneously. Find the probability that the sum of the numbers on the two dice is 10.
A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1, 2, 3,..., 12 as shown in the figure. What is the probability that it will point to 6 ?
A carton consists of 100 shirts of which 88 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. But Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Kamal?
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 blue balloon
A die is thrown, find the probability of getting:
a prime number
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
Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is: 12
An event is very unlikely to happen. Its probability is closest to ______.
A dice is rolled once. What is the probability that the number on top will be a factor of 36
Sonia picks up a card from the given cards.
Calculate the probability of getting a Y card