A school café sells three flavours of smoothies: mango (M), kiwi fruit (K) and banana (B). 85 students were surveyed about which of these three flavours they like. 35 students liked mango, 37 liked banana, and 26 liked kiwi fruit 2 liked all three flavours 20 liked both mango and banana 14 liked mango and kiwi fruit 3 liked banana and kiwi fruit 8a. Using the given information, complete the following Venn diagram. M B K. 8b. Find the number of surveyed students who did not like any of the three flavours.

A First Course in Probability (10th Edition)
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A school café sells three flavours of smoothies: mango (M), kiwi fruit (K) and
banana (B).
85 students were surveyed about which of these three flavours they like.
35 students liked mango, 37 liked banana, and 26 liked kiwi fruit
2 liked all three flavours
20 liked both mango and banana
14 liked mango and kiwi fruit
3 liked banana and kiwi fruit
8a. Using the given information, complete the following Venn diagram.
M
B
K.
8b. Find the number of surveyed students who did not like any of the three
flavours.
8c. A student is chosen at random from the surveyed students.
Find the probability that this student likes kiwi fruit smoothies given that they like
mango smoothies.
Transcribed Image Text:A school café sells three flavours of smoothies: mango (M), kiwi fruit (K) and banana (B). 85 students were surveyed about which of these three flavours they like. 35 students liked mango, 37 liked banana, and 26 liked kiwi fruit 2 liked all three flavours 20 liked both mango and banana 14 liked mango and kiwi fruit 3 liked banana and kiwi fruit 8a. Using the given information, complete the following Venn diagram. M B K. 8b. Find the number of surveyed students who did not like any of the three flavours. 8c. A student is chosen at random from the surveyed students. Find the probability that this student likes kiwi fruit smoothies given that they like mango smoothies.
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