Advertisements
Advertisements
Question
From a well-shuffled pack of 52 cards, a card is drawn at random. Find the probability of its being either a red king or a black queen
Advertisements
Solution
n(S) = 52
Let A be the event of getting a red king
n(A) = 2
P(A) = `("n"("A"))/("n"("S")) = 2/52`
Let B be the event of getting a black Queen king
n(B) = 2
P(B) = `("n"("B"))/("n"("S")) = 2/52`
It A and B are mutually exclusive
P(A ∪ B) = P(A) + P(B)
= `2/52 + 2/52`
= `4/52`
= `1/13`
The required probability is `1/13`
APPEARS IN
RELATED QUESTIONS
A and B are two events such that, P(A) = 0.42, P(B) = 0.48, and P(A ∩ B) = 0.16. Find P(not A)
A and B are two events such that, P(A) = 0.42, P(B) = 0.48, and P(A ∩ B) = 0.16. Find P(A or B)
Two dice are rolled once. Find the probability of getting an even number on the first die or a total of face sum 8.
A box contains cards numbered 3, 5, 7, 9, … 35, 37. A card is drawn at random from the box. Find the probability that the drawn card have either multiples of 7 or a prime number.
In a town of 8000 people, 1300 are over 50 years and 3000 are females. It is known that 30% of the females are over 50 years. What is the probability that a chosen individual from the town is either a female or over 50 years?
A coin is tossed thrice. Find the probability of getting exactly two heads or atleast one tail or two consecutive heads
In a class of 35, students are numbered from 1 to 35. The ratio of boys to girls is 4 : 3. The roll numbers of students begin with boys and end with girls. Find the probability that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number.
If two dice are rolled, then find the probability of getting the product of face value 6 or the difference of face values 5
The King, Queen and Jack of the suit spade are removed from a deck of 52 cards. One card is selected from the remaining cards. Find the probability of getting a diamond
The King, Queen and Jack of the suit spade are removed from a deck of 52 cards. One card is selected from the remaining cards. Find the probability of getting a spade
