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

A fair coin is tossed $n-$ times such that the probability of getting at least one head is at least $0.9.$ Then the minimum value of $n$ is _______.

A six faced die is so biased that it is thrice likely to show an even number than an odd number, when thrown. If the die is thrown twice, the probability that sum of the numbers on the die is even, is

Let $A$ and $B$ be two events with $P\left(A\right)=\frac{1}{7}, P\left(A/B\right)=\frac{2}{5}$ and $P\left(B\right)=\frac{2}{7}.$ Then the value $P(B/A)$ is

A fair die is tossed until six is obtained on it. Let $X$ be the number of required tosses, then the conditional probability $P(X⩾5\mid X>2)$ is :

From a pack of cards, two cards are drawn one- by- one. Then, the probability that first card is an ace while the second card is honoured (before drawing the second card, the first card is not replaced in the pack of cards) will be

In a Binomial distribution, the mean is three times its variance. What is the probability of exactly $3$ successes out of $5$ trials ?

What is the most probable number of successes in $10$ trials with probability of success $\frac{2}{3} ?$

A coin is tossed $5$ times. The probability that the tail appears an odd number of times is