# Math

A prize machine randomly dispenses small toys. There are 1515 prizes left:
55 bouncy balls, 33 toy cars, 22 stickers, and 55 dinosaurs.

Kai gets 22 prizes. What is the probability that they are both toy cars?

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1. A prize machine randomly dispenses small toys. There are 15 prizes left:
5 bouncy balls, 3 toy cars, 2 stickers, and 5 dinosaurs.

Kai gets 2 prizes. What is the probability that they are both toy cars?

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2. 👎
2. possibilities are

A) 3/70
B) 3/75
C) 1/35
D) 2/70

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3. If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

3/15 * (3-1)/(15-1) = ?

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4. 1/35
There are 3C2 ways in getting both toy cars, and our sample space is 15C2.
Thus, the probability becomes: 3C2/15C2 = 1/35

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5. PsyDAG is right

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2. 👎

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