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