SOLUTION: 2) The type of people watching a film at a cinema is shown in the table. ----------Male---Female Adult-----21------14 Child-----10------5 Two of these people are chosen

Algebra ->  Probability-and-statistics -> SOLUTION: 2) The type of people watching a film at a cinema is shown in the table. ----------Male---Female Adult-----21------14 Child-----10------5 Two of these people are chosen      Log On


   

Question 257929: 2) The type of people watching a film at a cinema is shown in the table.
----------Male---Female
Adult-----21------14
Child-----10------5
Two of these people are chosen at random to receive free cinema tickets.
Calculate the probability that two chosen people are adults of the same gender.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The type of people watching a film at a cinema is shown in the table.
----------Male---Female---Total
Adult-----21------14--------35
Child-----10------5---------15
Total-----31------19--------50
Two of these people are chosen at random to receive free cinema tickets.
Calculate the probability that two chosen people are adults of the same gender.
---
P[(2male or 2female)|adult) = P(2male|adult) + P(2female|adult) = [21C2+14C2]/35C2
= [210 + 91]/[595] = 301/595 = 0.51
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Cheers,
Stan H