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Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is not replaced before selecting the second slip of paper. What is the probability of selecting a multiple of 3 and then a multiple of 4?

3/50
1/10
2/45
1/15

Respuesta :

TaeKwonDoIsDead

Answer:

[tex]\frac{1}{15}[/tex]

Step-by-step explanation:

Multiples of 3 (from 1 to 10) are 3, 6, and 9.

Multiples of 4 (from 1 to 10) are 4 and 8.

First,

Probability of selecting multiple of 3 from 10 total slips are 3/10

now since it is not replaced, we have to now think that there are 9  total slips.

Second,

Probability of selecting multiple of 4 from 9 total slips are 2/9

in probability "AND" means multiplication. Hence,

selecting 3 "AND" then selecting 4 means, we need to multiply the individual probabilities found.

So,

3/10 * 2/9 = 1/15

TakiQueen

Answer:

1/15

Step-by-step explanation:

I just took the test

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