Question

*Give all probabilities to four decimal places.

Bowl #1 contains 4 grape candies, 5 lemon candies, 6 cherry candies and 5 raspberry candies.

Bowl #2 contains 8 grape candies, 5 lemon candies, 4 cherry candies and 3 raspberry candies.

(c) What is the probability that the two selected candies are the same flavour?

(d) What is the probability that the two selected candies are different colours?

(e) What is the probability that the first selected candy is lemon or that the second selected candy is cherry?

(f) Let X be the number of grape candies that are selected. Find the probability distribution of X by filling in the table below:




X |0| |1| |2|
P(X = x)| | | | | |