Two chips are drawn at random and without replacement from a bag containing two blue chips and two red chips. Events A and B are defined as follows. A: {At least one of the chips is blue}. B: {Both chips are red}. The events A and B are mutually exclusive.

Yes, The events A and B are mutually exclusive event.

Step-by-step explanation:

Two chips are drawn at random and without replacement from a bag containing two blue chips and two red chips.

Total chips (n ) = 4

Two chips are chooses from 4 chips then the total possibilities are =

total outcomes = = 6

Let and denote blue chips and and denote red chips.

A: {At least one of the chips is blue} = { , , , , }

P( A) =

B: {Both chips are red} = { }

P( B)  =

 = { , }

=

If A and B are mutuall exclusive

= P( A) + P( B)

P( A) + P( B)  = = 1

= = 1

Hence

= P( A) + P( B)

Then A and B are mutuall exclusive

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