Answer:
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