A singer has 20 pairs of earrings, plus another 5 individual earrings which don't have a match. One morning she reaches into her drawer without looking and pulls out a random earning. What is the probability that the earring she pulls out is part of a pair of earnings (and thus has a match) ? Assume each earring has an equal chance of being pulled out of the drawer. Your answer should be a fraction in lowest terms.

Question

Mathematics

Brooke Clarke

25 February, 15:45

A singer has 20 pairs of earrings, plus another 5 individual earrings which don't have a match. One morning she reaches into her drawer without looking and pulls out a random earning. What is the probability that the earring she pulls out is part of a pair of earnings (and thus has a match) ? Assume each earring has an equal chance of being pulled out of the drawer. Your answer should be a fraction in lowest terms.

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Answers (1)

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Jane Yates · Answer 1

40/45 8/9

Step-by-step explanation:

20 pairs = 40 individual

5 individual = 40+4=45 individual

45 individual and 45 in total=

40 over 45

simplify to make 8/9