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

$A$ card is drawn from a well-shuffled pack of $52$ cards. The probability of getting a queen of clubs or a king of hearts is:

In a single throw of $2$ dice,what is the probability of getting a multiple of $2$ on one die and a multiple of $3$ on the other?

$A$ coin is tossed three times in succession. If $E$ is the event that there are at least two heads and $F$ is the event in which the first throw is a head,then $P\left( \frac{E}{F} \right) = $

From $10,000$ lottery tickets numbered from $1$ to $10,000$,one ticket is drawn at random. What is the probability that the number marked on the drawn ticket is divisible by $20$?

If a committee of $3$ is to be chosen from a group of $38$ people of which you are a member,what is the probability that you will be on the committee?

Vedclass Test Series

Exam Paper Generator

Online Exam Module