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# A bag contains 7 tiles, each with a different number from 1 to 7. You choose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. What is the probability that you choose tiles with the numbers 1, 2, and 3 in that order?

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asked 2020-12-17
A bag contains 7 tiles, each with a different number from 1 to 7. You choose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. What is the probability that you choose tiles with the numbers 1, 2, and 3 in that order?

## Answers (1)

2020-12-18
Probability of choosing 1, 2, then 3 is $$\displaystyle\frac{{1}}{{7}}\cdot\frac{{1}}{{6}}\cdot\frac{{1}}{{5}}$$
$$\displaystyle\frac{{1}}{{7}}\cdot\frac{{1}}{{6}}\cdot\frac{{1}}{{5}}=\frac{{1}}{{210}}$$
or $$\displaystyle{0.00476190476}$$

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