One card is drawn from a pack of 52 cards. Th | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let $A$ be the event of drawing a queen and $B$ be the event of drawing a heart.Total number of cards = $52$.Number of queens $n(A) = 4$,so $P(A)

Vedclass · Accepted Answer

$\frac{4}{13}$

Vedclass · Answer

(C) Let $A$ be the event of drawing a queen and $B$ be the event of drawing a heart.Total number of cards = $52$.Number of queens $n(A) = 4$,so $P(A) = \frac{4}{52} = \frac{1}{13}$.Number of hearts $n(B) = 13$,so $P(B) = \frac{13}{52} = \frac{1}{4}$.The card that is both a queen and a heart is the queen of hearts,so $n(A \cap B) = 1$,which means $P(A \cap B) = \frac{1}{52}$.Using the addition theorem of probability,$P(A \cup B) = P(A) + P(B) - P(A \cap B)$.$P(A \cup B) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52} = \frac{16}{52} = \frac{4}{13}$.

One card is drawn from a pack of $52$ cards. The probability that it is a queen or a heart is

Similar Questions

The probabilities that $A$ and $B$ speak the truth are $\frac{4}{5}$ and $\frac{3}{4}$ respectively. The probability that they contradict each other when asked to speak on a fact is

One of the two events must occur. If the chance of one is $\frac{2}{3}$ of the other,then the odds in favour of the other are

What is the probability of drawing either a queen or a red card from a deck of $52$ cards?

If $P(A) = 0.4$,$P(B) = x$,$P(A \cup B) = 0.7$ and the events $A$ and $B$ are independent,then $x =$

If a number is selected from the first $30$ natural numbers, then the probability that the number selected is divisible by $4$ or $7$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module