To determine: The probability that a player wins the price.
The probability that a player wins the price.is 0.042.
Given information:
The bag contains 10 marbles out of which 5 are red, 3 are white, and 2 are blue.
Formula used:
Here, E is the favourable outcomes and S is the total possible outcomes.
And,
Use general multiplication rule:
P (A and B) = P(A)×P(B|A) = P(B)×P(A|B) ...... (2)
Calculation:
The probability of selecting first a red marble, then a white marble, and then a blue marble.
Let
R =Red of first draw
W =White on second draw
B =Blue on third draw
5 of the 10 marbles in the bag are red.
Substitute 5 for
When the first selected marbles were red, then 3 of the 9 remaining marbles in the bag are white.
Substitute 3 for
When the first selected marbles was red and the second selected marbles was white , then 2 of the 8 remaining marbles are blue.
Substitute 2 for
Substitute
Hence, the probability that a player wins the price.is 0.042.
Chapter 10 Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
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