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xxTIMURxx [149]
3 years ago
8

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the co

mpound event. Write your answer as a fraction or percent rounded to the nearest tenth.
Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

Choosing the first tile:


At first, there are 7 tiles.

You are interested in choosing a 5. There is only one tile with a 5.

p(5) = 1/7



Choosing the second tile:

After the 5 has been taken, now there are 6 tiles left.

Only one tile has the number 6.

p(6) = 1/6


The overall probability of choosing a 6 after a 5 is the product of the individual probabilities:


p( 5 then 6) = 1/7 * 1/6 = 1/42


Answer: The probability of choosing a 5 and then a 6 is 1/42

:)

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There are 52920 ways to do the banquet

Step-by-step explanation:

* Lets revise the combination to solve this problem

- A combination is a collection of the objects where the order

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* Lets solve the problem

- A catering service offers 6 appetizers, 7 main courses, 10 desserts.

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∵ We want to select  5  appetizers from 6

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∴ There are 7C4 ways to chose the main courses

∵ 7C4 = 35

∴ There are 35 ways to chose the main courses

∵ We want to select  5  desserts from 10

∴ There are 10C5 ways to chose the desserts

∵ 10C5 = 252

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- To find the number of ways to do the banquet multiply all the

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∵ The total ways = 6C5 × 7C4 × 10C5

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