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Violet has four pairs of studded earrings in her jewelry box, each pair a different colour - red, blue, pink and green. She selects one

Violet has four pairs of studded earrings in her jewelry box, each pair a different colour - red,

blue, pink and green. She selects one earring at a time, in random order, from her jewelry

box.

b) What is the probability that Violet has a matching pair after selecting the second

earring?

c) Hence, what is the probability that she does NOT have a matching pair after selecting

the second earring?

d) Violet decides to select a third earring after being unsuccessful with her first two

earrings. Find the probability that she does NOT have a matching pair after selecting

the third earring.

image text in transcribed
PROBABILITY Question 2 (10 marks) Violet has four pairs of studded earrings in her jewelry box, each pair a different colour - red, blue, pink and green. She selects one earring at a time, in random order, from her jewelry box. Red Blue Red Pink Green Red Blue Blue Pink Green Red Blue Pink Pink Green Red Blue Green Pink Green a) Complete the tree diagram, writing the probabilities of each selection on the branches. b) What is the probability that Violet has a matching pair after selecting the second earring? c) Hence, what is the probability that she does NOT have a matching pair after selecting the second earring? d) Violet decides to select a third earring after being unsuccessful with her first two earrings. Find the probability that she does NOT have a matching pair after selecting the third earring

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