A dice is thrown 5 times,then the probability | vedclass

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

Question

(A) The probability of getting an even number in a single throw of a dice is $p = \frac{3}{6} = \frac{1}{2}$.The probability of not getting an even nu

Vedclass · Accepted Answer

$\frac{5}{16}$

Vedclass · Answer

(A) The probability of getting an even number in a single throw of a dice is $p = \frac{3}{6} = \frac{1}{2}$.The probability of not getting an even number is $q = 1 - p = 1 - \frac{1}{2} = \frac{1}{2}$.Using the Binomial distribution formula $P(X = r) = {}^nC_r \cdot p^r \cdot q^{n-r}$,where $n = 5$ and $r = 3$:$P(X = 3) = {}^5C_3 \cdot \left(\frac{1}{2}\right)^3 \cdot \left(\frac{1}{2}\right)^{5-3}$$P(X = 3) = 10 \cdot \left(\frac{1}{8}\right) \cdot \left(\frac{1}{4}\right)$$P(X = 3) = \frac{10}{32} = \frac{5}{16}$.

$A$ dice is thrown $5$ times,then the probability that an even number will come up exactly $3$ times is

Similar Questions

If a fair coin is tossed $8$ times,then the probability that it shows heads more than tails is

If the sum of the mean and the variance of a Binomial distribution for $5$ trials is $1.8$,then the value of $p$ is

In a binomial distribution,the probability of success is $\frac{1}{4}$ and the standard deviation is $3$. Then,its mean is

Let a random variable $X$ have a Binomial distribution with mean $8$ and variance $4$. If $P(X \leqslant 2) = \frac{k}{2^{16}}$,then $k$ is equal to:

The binomial distribution whose mean is $9$ and whose standard deviation is $\frac{3}{2}$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module