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inn [45]
4 years ago
10

A jar contains 6 aqua beads and 4 black beads. If two beads are selected at random, what is the probability that both beads will

be aqua? Round to the nearest hundredth if needed.
Mathematics
1 answer:
Ainat [17]4 years ago
5 0

Answer:

0.33

Step-by-step explanation:

We would like to find the probability that both beads are aqua.

There are 6 aqua beads. Let's calculate the number of ways we can select 2 aqua beads from these 6. We use combinations, which is _6C_2=\frac{6!}{(6-2)!*2!}, where the n! means n * (n - 1) * (n - 2) * ... * 2 * 1.

The value of the expression is:

_6C_2=\frac{6!}{(6-2)!*2!}=\frac{720}{24*2} =15

So there are 15 ways to choose 2 aqua beads.

Now let's calculate the number of ways we can select any 2 beads. There are 6 + 4 = 10 beads in total, so we do the same thing as before using combinations:

_{10}C_2=\frac{10!}{(10-2)!*2!} =\frac{3628800}{40320*2} =45

Our fraction is thus:

15 / 45 = 1/3 ≈ 0.33

The answer is thus 0.33.

<em>~ an aesthetics lover</em>

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