A coin is tossed. If the result is a head, a marble is drawn from a blue pouch containing 2 white and 2 black marbles. If the coin shows a tail, a marble is drawn from a red pouch containing 2 white marbles and 1 black marble. What is the probability that the coin showed a tail given that a black marble was drawn?
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A coin is tossed. If the result is a head, a marble is drawn from a blue pouch containing 2 white and
Answer:
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Step-by-step explanation:
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Answer:
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
Step-by-step explanation:
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