A dice is thrown two times. If getting an odd | vedclass

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

Question

(D) Let $p$ be the probability of getting an odd number in a single throw of a dice.The possible outcomes on a dice are $\{1, 2, 3, 4, 5, 6\}$.The odd

Vedclass · Accepted Answer

$\frac{1}{4}$

Vedclass · Answer

(D) Let $p$ be the probability of getting an odd number in a single throw of a dice.The possible outcomes on a dice are $\{1, 2, 3, 4, 5, 6\}$.The odd numbers are $\{1, 3, 5\}$.So,$p = \frac{3}{6} = \frac{1}{2}$.The probability of failure $q = 1 - p = 1 - \frac{1}{2} = \frac{1}{2}$.Since the dice is thrown $n = 2$ times,we use the binomial distribution formula $P(X = k) = {}^nC_k p^k q^{n-k}$.For two successes,$k = 2$.$P(X = 2) = {}^2C_2 \left(\frac{1}{2}ight)^2 \left(\frac{1}{2}ight)^{2-2} = 1 	imes \frac{1}{4} 	imes 1 = \frac{1}{4}$.

$A$ dice is thrown two times. If getting an odd number is considered a success,then the probability of two successes is

Similar Questions

$A$ fair coin is tossed $n$ times. Let $X$ be the number of times head is observed. If $P(X = 4), P(X = 5)$ and $P(X = 6)$ are in $H.P.$,then $n$ is equal to

For $X \sim B(n, p)$,if $p=0.6$ and $E(X)=6$,then $\operatorname{Var}(X)=$

$A$ random variable $X \sim B(n, p)$ follows a binomial distribution with $n = 6$. If $9P(X = 4) = P(X = 2)$, then the probability of success $p$ is:

If a die is thrown $7$ times,what is the probability of getting exactly $5$ four times?

The probability that a student is not a swimmer is $\frac{1}{5}$. Then the probability that out of five students,four are swimmers is

Vedclass Test Series

Exam Paper Generator

Online Exam Module