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## A jewelry box contains 13 gold earrings, 10 silver earrings and 12 titanium earrings. Two earrings are drawn at random with replacemen

Question

A jewelry box contains 13 gold earrings, 10 silver earrings and 12 titanium

earrings. Two earrings are drawn at random with replacement. Find the

probability that they are made of different materials.

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Mathematics
5 months
2021-08-30T14:29:27+00:00
2021-08-30T14:29:27+00:00 1 Answers
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## Answers ( )

Answer:

The probability is 406/625

Step-by-step explanation:

If they are of different materials, we have the following combinations of selection;

(gold and silver) or ( silver and titanium) or (gold and titanium )

The number of earrings present is 13 + 10 + 12 = 25

Probability of selecting a gold earring is 13/25

Probability of a silver is 10/25

Probability of a titanium is 12/25

Substituting these into the probabilities, we have;

(13/25 * 10/25) + (10/25 * 12/25) + (13/25 * 12/25)

= 130/625 + 120/625 + 156/625 = 406/625