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A jar contains 4 pieces of gum, 7 pieces of candy, and 3 pieces of mint. Each time you draw out an item, you record the outcome and put the item back in the jar before making another draw. What is the probability that you get exactly the following sequence: candy—mintmcandy, in that order?
(a) 0.0300.
(b) 0.0530.
(c) 0.1607.
(d) 1.2143.

Sagot :

Francocanacariidn

Answer:

The correct answer is B.

Step-by-step explanation:

Since a jar contains 4 pieces of gum, 7 pieces of candy, and 3 pieces of mint, and each time you draw out an item, you record the outcome and put the item back in the jar before making another draw, to determine what is the probability that you get exactly the sequence candy-mint-candy, in that order, the following calculation should be performed:

4 + 7 + 3 = 14

7/14 x 3/14 x 7/14 = X

0.5 x 0.2142 x 0.5 = X

0.053 = X

Therefore, the probability that the chosen sequence will be obtained is 0.0530, or 5.3%.

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