To calculate: The probability that that it came from the box with the two-headed coin.
The probability that it came from the box with the two-headed coin is
Given information:
Two boxes are on the table. One box contains a normal coin and a two-headed coin; the other box contains three normal coins. A friend reaches into a box, removes a coin, and shows you one side: a head.
Calculation:
The problem requires to determine the probability that the chosen coin with one side that is head came from the box with the two headed coin.
Let
Since there are only two boxes, the probability of picking each box is
Box
Thus, the probability that it is a Head and from Box
Box
Thus, the probability that it is a Head and from Box
The probability of getting a head is given by:
The probability that the chosen coin with one side that is head came from the box with the two headed coin is given by:
Hence, the probability that it came from the box with the two-headed coin is
Chapter 10 Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
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