MATHEMATICS PROBLEM SOLVER

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Wednesday 23 November 2016

PROBABILITY 12

A school survey found that 3 out of 10 students like pizza. If three students are chosen at random with replacement, what is the probability that all three students like pizza?

Solution

THIS IS AN INDEPENDENT EVENT. THE 1^ST CHOICE HAS NO ANY EFFECT FOR THE 2^ND OR 3^RD.

P(student 1 likes pizza)	=	3
		10

P(student 2 likes pizza)	=	3
		10

P(student 3 likes pizza)	=	3
		10

P(student 1 and student 2 and student 3 like pizza)	=	3	·	3	·	3	=	27
		10		10		10		1000

Hence probability that all three students like pizza is ²⁷/1000 .

TRY THIS………..

A school survey found that 3 out of 7 students like pizza. If three students are chosen at random with replacement, what is the probability that all three students like pizza?

MATHEMATICS PROBLEM SOLVER

Wednesday 23 November 2016

PROBABILITY 12

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