Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Answer 1

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.

Answer 2

The Probability is chances of an event occuring. The probability of choosing 5 and then a 6 tiles is 1/42.

We have given to randomly choose one of the tiles

What is the formula for probability?

$P(A)=\frac{no. of favorable outcome }{Total number of event}$

For 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

For choosing the second tile:

After the 5 have 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

Therefore, the probability of choosing a 5 and then a 6 is 1/42.

To learn more about the probability visit:

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