Question

At a speed dating event you meet three candidates. The chance of a match (you like the candidate, the candidate likes you) is 26%. You assume that the outcomes of each meeting are independent from each other. What is the chance that you match with 2 of the 3 candidates? (Round to four decimal places as needed.)

Answer 1

Solution:

Given:  The chance of a match (you like the candidate, the candidate likes you) is 26%

that is : p = 0.26

n = Number of candidates = 3

Find:

P( X = 2)=..........?

X = Number of candidates  you match follows Binomial distribution with parameter n= 3 and p = 0.26

Binomial probability formula :

Where q = 1 – p = 1 - 0.26 = 0.74

thus