From a well-shuffled pack of 52 playing cards | vedclass

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

Question

(C) Since the cards are drawn with replacement,each draw is an independent event.Let $E$ be the event of drawing a "king of hearts". The probability o

Vedclass · Accepted Answer

$\frac{51^4}{52^5}$

Vedclass · Answer

(C) Since the cards are drawn with replacement,each draw is an independent event.Let $E$ be the event of drawing a "king of hearts". The probability of drawing a "king of hearts" in any single draw is $P(E) = \frac{1}{52}$.The probability of not drawing a "king of hearts" in any single draw is $P(E') = 1 - \frac{1}{52} = \frac{51}{52}$.We want the $5^{th}$ card to be a "king of hearts". The first $4$ cards can be any card other than the "king of hearts",and the $5^{th}$ card must be the "king of hearts".Probability = $P(E') 	imes P(E') 	imes P(E') 	imes P(E') 	imes P(E) = \left(\frac{51}{52}ight)^4 	imes \frac{1}{52} = \frac{51^4}{52^5}$.

$X = x$	$0$	$1$	$2$
$P(X = x)$	$4k - 10k^2$	$5k - 1$	$3k^3$

From a well-shuffled pack of $52$ playing cards,cards are drawn one by one with replacement. The probability that the $5^{th}$ card will be the "king of hearts" is:

Similar Questions

$A$ player tosses two fair coins. He wins $Rs. 5$ if two heads appear, $Rs. 3$ if one head appears, and $Rs. 2$ if no head appears. The variance of the winning amount is:

The discrete random variables $X$ and $Y$ are independent from one another and are defined as $X \sim B(16, 0.25)$ and $Y \sim P(2)$. Then the sum of the variances of $X$ and $Y$ is

If $X$ is a Poisson variate such that $\frac{5}{3} k = P(X=2) = P(X=3)$, then $P(X=5) =$

If the p.m.f. of a random variable $X$ is given by $P(X=x) = \frac{\binom{5}{x}}{2^{5}}$ for $x = 0, 1, 2, \ldots, 5$ and $0$ otherwise,then which of the following is not true?

$A$ random variable $X$ has the following probability distribution:
$X = x$ $0$ $1$ $2$
$P(X = x)$ $4k - 10k^2$ $5k - 1$ $3k^3$

Then $P(X < 2)$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module