Advertisements
Advertisements
Question
All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn from it. Find the probability that the drawn card is (i) a black face card. (ii) a red card.
Solution
Total number of cards in a pack = 52
A pack contains of 4 kings, 4 queens and 4 aces.
∴ Number of cards removed = 4 + 4 + 4 = 12
Remaining number of cards in the pack = 52 − 12 = 40
(i) Number of black face cards = 2 (jacks of spade and club)
P(a black face card)=`\text{Number of black face cards}/\text{ Remaining Number of cards in the pack}`
`=2/40`
`=1/20`
Thus, the probability of getting a black face card is`1/20`.
(ii) Remaining number of red cards = 26 − (2 + 2 + 2) = 26 − 6 = 20
P(red card)=`\text{Remaining number of red cards}/\text{Remaining number of cards in the pack}`
Thus, the probability of getting a red card is`1/2`.
APPEARS IN
RELATED QUESTIONS
In the given figure, a square dart board is shown. The length of a side of the larger square is 1.5 times the length of a side of the smaller square. If a dart is thrown and lands on the larger square. What is the probability that it will land in the interior of the smaller square?
A box contains 5 red, 8 blue and 3 green pens. Rutuja wants to pick a pen at random. What is the probability that the pen is blue?
A card is drawn at random from a well shuffled pack of 52 playing cards.
Find the probability that the card drawn is a spade.
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?
A number is selected from first 50 natural numbers. What is the probability that it is a multiple of 3 or 5?
In a family of 3 children, the probability of having at least one boy is
A coin is tossed once. What is the probability of getting a tail?
A bag contains 18 balls out of which x balls are red. If two more red balls are put in the bag, the probability of drawing a red ball will be `9/8` times the probability of drawing a red ball in the first case. Find the value of x.
Five cards − the ten, jack, queen, king and ace of diamonds are well shuffled with their faces downwards. One card is then picked up at random. What is the probability that the drawn card is the queeen?
Two coins are tossed together . what is the probabilty of getting different faces on the coins ?
Basketball players John, Vasim, Akash were practising the ball drop in the basket. The probabilities of success for John, Vasim and Akash are `4 /5`, 0.83 and 58% respectively. Who had the greatest probability of success ?
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 once. Find the probability of getting.
(a) a prime number.
(b) an odd number
A die is thrown, find the probability of getting:
a number greater than 4
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
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 or 3
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: less than or equal to 12
When two coins are tossed, what is the probability that two heads are obtained?
Sonia picks up a card from the given cards.
Calculate the probability of getting an odd number
Three coins are tossed simultaneously. What is the probability of getting at least one head?
