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Mixed Questions

Question 1: A bag contains 7 red tokens and 5 green tokens. Peter pulls out one token, records the colour, keeps the token, and then pulls out another token. Find:
a) P(Two red tokens)
b) P(a red and a green token)
c) P( at least one green token)

Question 2: Jack has a bag of sweets. It has 3 green sweets, 2 red sweets and 4 yellow sweets. Jack pulls out three sweets, one by one, and eats them. Find:
a) P(three green sweets)
b) P(one of each colour)
c) P(2 green sweets)

Question 3: In a quiz, Peter and Paul are asked four questions each. Each question they get correct gives their pair one point.
The chance Peter is correct is 0.7
the chance that Paul is correct is 0.8
Find:
a) P(They get 1 point in total)
b) P(They each score 1 point)
c) P(They score 2 points in total)
d) P(They score at least 1 point in total)

Question 4: In a box there are 5 triangles, 3 circles and 2 stars. Sarah pulls out 2 shapes from the bag.
Sarch wins the game if she has 2 shapes that are the same
a) What is the probability that Sarah wins
In another game Sarah pulls out three shapes. Sarch now wins if she gets 2 Stars
b) Find the new probability that she wins

Question 5: Analyse the following table about favourite subjects in a class. Assume that two people are picked out from the class
Male Female
Maths 8 13
English 4 12

a) P(both like Maths)
b) P(two females, both liking English)
c) P(A male mathematician and a female English Student)