Question

A bag has 5 blue and 5 red counters. I pick one counter without looking and put it back in the bag. I
then pick out another counter.
a] Draw a probability tree to show the outcomes of these events.



b] What is the probability that I pick out a red counter and a blue counter?
½

Answer 1

Given : A bag having  5 blue and 5 red counters . pick one counter without looking and put it back in the bag. then pick out another counter.

To find : probability that I pick out a red counter and a blue counter

Solution:

B B  B  B  B                       R  R  R R R

Possible out come

BB

BR

RB

RR

Probability of picking out a red counter & a blue counter  

= 2/4 = 1/2    

or  (5/10)(5/10)  + (5/10)(5/10)

= 25/100 + 25/100

= 50/100

= 1/2

probability that I pick out a red counter and a blue counter = 1/2

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