Respuesta :
The probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.
What is the conditional probability?
The conditional probability is the happening of an event, when the probability of occurring of other event is given.
A box has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy. (Each candy falls into only one of these categories.)
Let A is the event of selecting taffy in first attempt. Thus, the probability of it is,
[tex]P(A)=\dfrac{4}{14}[/tex]
Now 13 candies remain, in which 3 taffy candies are present. Let B is the event of selecting taffy in again. Thus, the probability of it is,
[tex]P(B)=\dfrac{3}{13}[/tex]
The probability of happening both event is,
[tex]P(A\cap B)=\dfrac{4}{14}\times\dfrac{3}{13}\\P(A\cap B)=\dfrac{12}{182}[/tex]
The probability that the two candies selected by Laura from the box are taffy is,
[tex]P(B| A)=\dfrac{\dfrac{12}{182}}{\dfrac{4}{14}}\\P(B| A)=0.230[/tex]
Thus, the probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.
Learn more about probability here:
brainly.com/question/1210781
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