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 [tex]_6C_2=\frac{6!}{(6-2)!*2!}[/tex], where the n! means n * (n - 1) * (n - 2) * ... * 2 * 1.
The value of the expression is:
[tex]_6C_2=\frac{6!}{(6-2)!*2!}=\frac{720}{24*2} =15[/tex]
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:
[tex]_{10}C_2=\frac{10!}{(10-2)!*2!} =\frac{3628800}{40320*2} =45[/tex]
Our fraction is thus:
15 / 45 = 1/3 ≈ 0.33
The answer is thus 0.33.
~ an aesthetics lover
