You are drawing from a bag containing 3 red, 4 green, 17 blue, and 26 black marbles. What is the chance Salon a single draw you get red?
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Step-by-step explanation:
Let E
1
,E
2
be the event of choosing bag 1 and bag 2 respectively.
E be the event that the drawn ball is red.
Then,
P(E
1
)=P(E
2
)=
2
1
P(E/E
1
)=
7
3
P(E/E
2
)=
11
5
ApplytheBayestheorem
P(E
2
/E
1
)=
2
1
×
7
3
+
2
1
×
11
5
2
1
×
11
5
=
68
35
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