A draws two cards with replacement from a pac | vedclass

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

Question

(C) The probability of $A$ drawing two cards of the same suit with replacement:There are $4$ suits,each with $13$ cards.The probability of picking a c

Vedclass · Accepted Answer

$\frac{5}{144}$

Vedclass · Answer

(C) The probability of $A$ drawing two cards of the same suit with replacement:There are $4$ suits,each with $13$ cards.The probability of picking a card of a specific suit is $\frac{13}{52} = \frac{1}{4}$.Since the cards are drawn with replacement,the probability of drawing two cards of the same suit is $4 	imes (\frac{1}{4} 	imes \frac{1}{4}) = 4 	imes \frac{1}{16} = \frac{1}{4}$.The probability of $B$ throwing a total of $6$ with a pair of dice:The total outcomes when throwing two dice is $6 	imes 6 = 36$.The favorable outcomes for a sum of $6$ are $(1, 5), (2, 4), (3, 3), (4, 2), (5, 1)$,which are $5$ outcomes.So,$P(B) = \frac{5}{36}$.Since $A$ and $B$ are independent events,the combined probability is:$P(A \cap B) = P(A) 	imes P(B) = \frac{1}{4} 	imes \frac{5}{36} = \frac{5}{144}$.

$A$ draws two cards with replacement from a pack of $52$ cards and $B$ throws a pair of dice. What is the chance that $A$ gets both cards of the same suit and $B$ gets a total of $6$?

Similar Questions

Three dice are thrown. The sum of the numbers is $15$. What is the chance of getting $4$ on the first die?

From a class of $12$ girls and $18$ boys,two students are chosen randomly. What is the probability that both of them are girls?

$A$ committee consists of $9$ experts taken from three institutions $A, B$ and $C$,of which $2$ are from $A, 3$ from $B$ and $4$ from $C$. If three experts resign,then the probability that they belong to different institutions is

There are $n$ different objects $1, 2, 3, \dots, n$ distributed at random in $n$ places marked $1, 2, 3, \dots, n$. The probability that at least three of the objects occupy places corresponding to their number is

What is the probability of getting a sum $9$ from two throws of a dice?

Vedclass Test Series

Exam Paper Generator

Online Exam Module