Embibe Experts Solutions for Chapter: Probability, Exercise 1: JKCET 2018

A box contains $3$ red balls and $3$ green balls. Two balls are picked up consecutively without replacement. If a green ball is picked up in the first turn, what is the probability of picking up a green ball again in the second turn?

A card is drawn from a well-shuffled standard deck of cards. What is the probability that the card drawn is either an ace or a jack or a king?

$A$ and $B$ are two independent events. If $P\left(A\right)=0.5$ and $P\left(B\right)=0.20$, then $P(A\cup B)=$

A can solve $75\%$ of the problems and $B$ can solve $80\%$ of the problems. If one problem is selected at random, the probability that the problem will be solved is

Three friends are trying to solve a puzzle. The chances of solving the puzzle by each of them individually are $\frac{1}{5},\frac{1}{2}$ and $\frac{1}{3}$ respectively. What is the probability that the puzzle will NOT be solved?

In a school, $40\%$ of the students play both cricket and volleyball. $60\%$ of the students play cricket. Each student of the school plays at least one game from cricket and volleyball. A student is selected at random. What is the probability that the student plays volleyball if it is found that the student plays cricket?

If $P\left(A\right)=\frac{1}{4}, P\left(B\right)=\frac{1}{5}$ and $P\left(AB\right)=\frac{1}{8}$, then $P\left(\frac{A^C}{B^C}\right)=$

A fair coin with two sides 'head' and 'tail' is tossed $6$ times. What is the probability that head turns up at least $4$ times?