Advertisements
Advertisements
Question
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.
Solution
Let A be the event that a card selected at random is a spade.
In given example, n(S) = 52
∴ n(A) = 13
`∴ P(A) = (n(A))/ (n(S))=13/52 =1/4`
APPEARS IN
RELATED QUESTIONS
Two coins are tossed simultaneously. Write the sample space ‘S’ and the number of sample points n(S). Write the following events using set notation and mention the number of elements in each of them:-
(a) A is the event of getting at least one head.
(b) B is the event of getting exactly one head
In a single throw of a pair of different dice, what is the probability of getting a total of 9 or 11?
Two coins are tossed simultaneously. Write the sample space (S), n(S), the following event A
using set notation and n(A), where ‘A is the event of getting at least one head.’
The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. What is the number of rotten apples in the heap?
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 a perfect square number.
All the red face cards 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 drawn card is a queen.
A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the cards thoroughly. Find the probability that the number on the drawn card is a perfect square.
Two dice are thrown together. The probability of getting the same number on both dice is.
A box contains 5 red marbels, 8 white marbles and 4 green marbles, One marble is taken out of the box at ramdom. What is the probability that the marble taken out will be white?
A piggy bank contains hundred 50 paise coins, fifity ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coin which fell will be of value more than ₹1
All kings and queens are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is randomly drawn from it. Find the probability that this card is a red face card
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 square
Aarushi sold 100 lottery tickets in which 5 tickets carry prizes. If Priya purchased a ticket, what is the probability of Priya winning a prize?
A coin is tossed. What is the probability of getting:
a tail?
A coin is tossed twice. Find the probability of getting: exactly one tail
A coin is tossed twice. Find the probability of getting: two heads
A bag contains 3 white, 5 black, and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn is a red ball.
A bag contains 3 white, 5 black, and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn is a white ball.
Two coins are tossed together. Find the probability of getting: at least one head
Getting a prime number on throwing a die is an event.
