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Donald has a bag containing 20 plastic bottles of the same size. There are 5 red, 8 pink and 7 blue bottles. Donald picks a bottle, replaces it and picks another bottle. Find the probability of selecting a red and a blue bottle.140780180740

Donald has a bag containing 20 plastic bottles of the same size. There are 5 red, 8 pink-example-1
User Yosidroid
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1 Answer

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Find the probability of selecting a red and a blue bottle:

Probability = number of required outcome/number of possible outcome


\text{Probability= }\frac{\text{ number of required outcome}}{\text{ number of possible outcome}}

The number of possible outcome = 20

The number of picking red bottle = 5

The number of picking blue bottle = 7


\begin{gathered} \text{Probability (of selecting a red and a blue bottle) = }\frac{\text{ number of red bottle}}{\text{ number of possible outcome}}*\frac{\text{ number of blue bottle}}{\text{ number of possible outcome}} \\ Pro\text{bability (of selecting a red and a blue bottle)}=(5)/(20)*(7)/(20) \\ Pro\text{bability (of selecting a red and a blue bottle)}=(35)/(400)=(7)/(80) \end{gathered}

Therefore the probability of selecting a red and a blue bottle = 7/80

Hence the correct answer is Option B

Donald has a bag containing 20 plastic bottles of the same size. There are 5 red, 8 pink-example-1
User Rodrigo Damasceno
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