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

$A$ die is thrown twice. If getting a number greater than $4$ on the die is considered a success,then the variance of the probability distribution of the number of successes is

$A$ contest consists of predicting the results (win,draw,or defeat) of $7$ football matches. $A$ sent his entry by predicting at random. The probability that his entry will contain exactly $4$ correct predictions is:

$A$ manufacturer of locks knows that $2 \%$ of his product is defective. If he sells the locks in boxes each with $100$ locks and guarantees that not more than $2$ locks will be defective in a box,then the probability that a box will fail to meet the guaranteed quality is

$A$ fair coin is tossed a fixed number of times. If the probability of getting $5$ heads is equal to the probability of getting $4$ heads, then the probability of getting $6$ heads is

$A$ person fails $4$ times in a game when he plays $9$ times. If he plays $15$ times, the probability of having success at most one is

Vedclass Test Series

Exam Paper Generator

Online Exam Module