Question

Max has three blue and two red shirts. On each day of the three days,Monday,Tuesday and Wednesday, he selects one shirt at random to wear. Max wears each shirt that he selects only once.

i)what is the probability that Maxwell will wear a blue shirt on Monday?

ii)what is the probability that Maxwell will wear a shirt of the same color on all three days?

iii)What is the probability that Maxwell will not wear a shirt of the same color on consecutive days?​

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Answer 1

Explanation:

i) 3/5 3blue shirts out of 5 possible options

ii) (3/5)(2/4)(1/3) = 6/60 = 1/10

this must be a blue shirt as there are not enough red shirts to complete the task.

iii) possible options brb or rbr

3/5(2/4)2/3 + 2/5(3/4)1/3 = 12/60 + 6/60 = 18/60 = 3/10