Question

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

Answer 1

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

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

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

Hence the correct answer is Option B