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

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

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 black and a red dice are rolled. The conditional probability of obtaining a sum greater than $9$, given that the black die resulted in a $5$ 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

Let $A$ and $B$ be events with $P\left(A\right)=\frac{1}{3}, P\left(B\right)=\frac{1}{4}$ and $P(A\cup B)=\frac{1}{2}.$ Then which of the following statement is incorrect?

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 :

For two events $A$ and $B$, if $P\left(A\right)=P\left(\frac{A}{B}\right)=\frac{1}{4}$ and $P\left(\frac{B}{A}\right)=\frac{1}{2}$, then

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