A dice is thrown twice. The probability of ge | vedclass

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

Question

(B) Let $A$ be the event of getting $4, 5$ or $6$ in the first throw. The total outcomes for a single throw are $6$. The favorable outcomes are ${4, 5

Vedclass · Accepted Answer

$\frac{1}{3}$

Vedclass · Answer

(B) Let $A$ be the event of getting $4, 5$ or $6$ in the first throw. The total outcomes for a single throw are $6$. The favorable outcomes are ${4, 5, 6}$,so the number of favorable outcomes is $3$.$P(A) = \frac{3}{6} = \frac{1}{2}$.Let $B$ be the event of getting $1, 2, 3$ or $4$ in the second throw. The favorable outcomes are ${1, 2, 3, 4}$,so the number of favorable outcomes is $4$.$P(B) = \frac{4}{6} = \frac{2}{3}$.Since the two throws are independent events,the probability of both events occurring is $P(A \cap B) = P(A) 	imes P(B)$.$P(A \cap B) = \frac{1}{2} 	imes \frac{2}{3} = \frac{2}{6} = \frac{1}{3}$.

$A$ dice is thrown twice. The probability of getting $4, 5$ or $6$ in the first throw and $1, 2, 3$ or $4$ in the second throw is

Similar Questions

Two coins are tossed. What is the probability of getting at most one head?

While dialing a telephone number,an old man forgets the last two digits,remembering only that they are different. If he dials the last two digits at random,what is the probability that the number is dialed correctly?

There are $10$ pairs of shoes in a cupboard from which $4$ shoes are picked at random. The probability that there is at least one pair is

$A$ 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

One bag contains $4$ white balls and $2$ black balls; another contains $3$ white balls and $5$ black balls. If one ball is drawn from each bag,find the probability that both are white.

Vedclass Test Series

Exam Paper Generator

Online Exam Module