This question aims to find the variance of the number of times a $6$ appears when a fair die is rolled $10$ times. We are surrounded by randomness. Probability theory is the mathematical concept that enables us to rationally analyze the chance of occurrence of an event. A probability of an event is a number […]

# Category Archives: Probability Q&A

No seating restrictions. A and B sit together? 4 men and 4 women and no 2 men or 2 women can sit together? 5 men must sit together? 4 married couples must sit together? The aim of this problem is to introduce us to probability and distribution. The concepts required to solve this problem are related to introductory algebra and statistics. Probability is […]

[ f(x) = left{ begin {array} ( Cx e^{-x/2} & x gt 0 \ 0 & xleq 0 end {array} right. ] The question aims to find the probability of a function for 5 months whose density is given in units of months. The question depends on the concept of Probability Density Function (PDF). The PDF […]

The purpose of this question is to understand the concepts of permutations and combinations for evaluating a different number of possibilities of a given event. The key concepts used in this question include Factorial, Permutation and Combination. A factorial is a mathematical function represented by the symbol ! that operates only on the positive integers. In fact, […]

An experiment yields four results, each with $ P ( E_1 ) = 0.2 $, $ P ( E_2 ) = 0.3 $ and $ P ( E_3 ) = 0.4 $. What is the probability of $E_4 $? An experiment yields four results, each with $ P ( E_1 ) = 0.2 $, $ […]