A person draws a card from a pack of playing | vedclass

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

Question

(D) standard pack of playing cards contains $52$ cards,out of which $13$ are spades.The probability of drawing a spade in a single attempt is $P(S) =

Vedclass · Accepted Answer

$\frac{9}{16}$

Vedclass · Answer

(D) standard pack of playing cards contains $52$ cards,out of which $13$ are spades.The probability of drawing a spade in a single attempt is $P(S) = \frac{13}{52} = \frac{1}{4}$.The probability of not drawing a spade in a single attempt is $P(S') = 1 - \frac{1}{4} = \frac{3}{4}$.Since the card is replaced and the pack is shuffled after each draw,the events are independent.The probability of failing (not drawing a spade) in the first attempt is $\frac{3}{4}$.The probability of failing (not drawing a spade) in the second attempt is also $\frac{3}{4}$.Therefore,the probability of failing in both the first two attempts is $\frac{3}{4} 	imes \frac{3}{4} = \frac{9}{16}$.

$A$ person draws a card from a pack of playing cards,replaces it and shuffles the pack. He continues doing this until he draws a spade. The chance that he will fail in the first two attempts is

Similar Questions

An $URN$ contains $6$ blue,$4$ red,$3$ green and $2$ yellow marbles. If four marbles are picked at random,what is the probability that one is yellow,two are red and one is blue?

In a single throw of $2$ dice,find the probability of getting a total of $3$ or $5$.

$A$ bag contains $3$ black and $4$ white balls. Two balls are drawn one by one at random without replacement. The probability that the second drawn ball is white,is

If the events $A$ and $B$ are mutually exclusive,then $P\left( \frac{A}{B} \right) = $

Two cards are drawn at random from a pack of $52$ cards. The probability that both are the cards of spade is

Vedclass Test Series

Exam Paper Generator

Online Exam Module