One card is drawn from each of two ordinary p | vedclass

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

Question

(A) Let $A$ be the event that the card drawn from the first pack is an ace of heart,and $B$ be the event that the card drawn from the second pack is a

Vedclass · Accepted Answer

$\frac{103}{2704}$

Vedclass · Answer

(A) Let $A$ be the event that the card drawn from the first pack is an ace of heart,and $B$ be the event that the card drawn from the second pack is an ace of heart.The probability of drawing an ace of heart from a pack of $52$ cards is $P(A) = P(B) = \frac{1}{52}$.The probability of $NOT$ drawing an ace of heart from a pack is $P(A') = P(B') = 1 - \frac{1}{52} = \frac{51}{52}$.The probability that at least one of them is an ace of heart is given by $1 - P(	ext{none is an ace of heart})$.Since the draws are independent,$P(	ext{none is an ace of heart}) = P(A') 	imes P(B') = \frac{51}{52} 	imes \frac{51}{52} = \frac{2601}{2704}$.Therefore,the required probability is $1 - \frac{2601}{2704} = \frac{2704 - 2601}{2704} = \frac{103}{2704}$.

One card is drawn from each of two ordinary packs of $52$ cards. The probability that at least one of them is an ace of heart,is

Similar Questions

$A$ box contains $15$ black and $20$ white balls. What is the probability that when $2$ balls are selected,at most one is white?

$A$ jar contains $3$ red marbles,$7$ green marbles and $10$ white marbles. If a marble is drawn from the jar at random,what is the probability that this marble is white?

An urn contains $25$ balls numbered $1$ to $25$. Suppose an odd number is considered a 'success'. $2$ balls are drawn from the urn with replacement. Find the probability of getting $3$ successes.

$4$ coins are tossed once. Find the probability of getting exactly $3$ tails.

$A$ bag contains $13$ white and $7$ black balls. $2$ balls are drawn at random. What is the probability that they are of the same colour?

Vedclass Test Series

Exam Paper Generator

Online Exam Module