Embibe Experts Solutions for Chapter: Probability, Exercise 1: Haryana Board-2018

A bag contains $4$ white and $6$ black balls. Two balls are drawn at random with replacement. Find the probability that both balls are black.

A fair coin is tossed $10$ times. Find the probability of exactly $6$ heads.

Two cards are drawn successfully with replacement from a well shuffled deck of $52$ cards. Write the probability distribution of number of aces.

A bag contains $4$ white and $6$ black balls. Two balls are drawn at random with replacement. Find the probability that both balls are black.

$A$ and $B$ are independent event such that $P\left(A\right)=0.3$ and $P\left(B\right)=0.4$, find the $P\left(\frac{A}{B}\right)$.

A random variable $X$ has the following probability distribution:

Find $k$.

A dice is thrown 6 times. If getting an even number is success, find probability of getting 4 successes.

The probability of solving specific problem independently by $A,B$ and $C$ are $\frac{1}{2},\frac{1}{3}$ and $\frac{1}{4}$ respectively. If all try to solve the problem independently, find the probability that the problem is solved.