there are two bags Aand B, bag A contains 6 red flowers and 3pink flowers whereas bag B contains 2 red and 7pink flowers .one is choosen in random what is the probability that is pink
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Step-by-step explanation:
E
1
=BagA E
2
=BagB
P(E
1
)=
2
1
=P(E
2
)
Probability of drawing 2 white and 2 red from Bag A
P(
E
1
A
)=
7
C
3
3
C
2
×4
C
1
=
35
12
Probability of drawing 2 white and 1 red ball from Bag B
P(
E
2
A
)=
7
C
3
4
C
2
×3
C
1
=
2
4×3
×
7×6×5
3×1
×3×2=
35
18
P(
A
E
2
)=
P(E
1
)P(
E
1
A
)+P(E
2
)P(
E
2
A
)
P(E
2
).P(
E
2
A
)
=
2
1
×
35
12
+
2
1
×
35
18
2
1
×
35
18
=
70
12
+
70
18
70
18
=
30
18
=
15
9
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