1. box a contains five red marbles and three blue marbles, and box b contains three red and two blue. a marble is drawn at random from each box. a. find the probability p that both marbles are red. b. find the probability p that one is red and one is blue
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Step-by-step explanation:
ANSWER
A] Event A = { o red marbles is chosen}
B
1
= {Box 1 is chosen}
B
2
= {Box 2 is chosen}
By formula for total probability
P(A)=P(A/B
1
)P(B
1
)+P(A
1
B
1
)P(B
2
)
P(B
1
)=P(B
2
)=
2
1
,P(A
1
B
1
)=
5
3
P(A
1
B
2
)=
10
2
=
5
1
So, P(A)=
2
1
×
5
3
+
2
1
×
5
1
=
10
1
=
5
2
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