College Math

College Math Study Guide

It can be further written as ( ) = ( ) ( ) + ( ) ( ) ( ) = ( ) + ( ) In this case, n(A) = 13, n(B) = 13 and n(S) = 52 The required probability will become ( ) = 13 52 + 13 52 = 0.5 4.9 Intersection of Independent Events Two events are said to be independent when the occurrence of one does not have any influence on the occurrence of the other event. For instance, if we toss two coins one by one, and the first coin shows a head, then the outcome from tossing of second coin is not influenced by the outcome of the first coin. If A and B are two independent events, then the probability of A and B is given by the intersection symbol, represented by A ∩ B; such that P(A ∩ B) = P(A)*P(B) The Venn diagram showing the intersection of independent events is given as follows:

Let us solve an example to understand the concept well. For instance, a bag contains five candies and four chocolates. John picks an item from the bag and then replaces it and draws another item. What is the probability that both items drawn are candies?

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