Answer:
6 socks
Step-by-step explanation:
What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.
There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:
12/24
and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:
11/23
the final probability is the multiplication of these events:
(12/24) * (11/23)
P = 0.24
Now, to know how many you should get, we multiply the probability by the total number of socks, that is:
0.24 * 24 = 5.76
So you must take out at least 6 socks for the above to happen.
The answer is 4.7 x 10^-4
If you move the decimal to the right, the exponent will be negative. If you move it to the left, the exponent will be positive.
This is the "commutative property of addition." The order in which you add numbers together doesn't matter, and doesn't change your final results.
Answer:
3, 5, 8, 13
Step-by-step explanation:
aₙ = aₙ₋₁ + aₙ₋₂
a₃ = a₂ + a₁ = 2 + 1 = 3
a₄ = a₃ + a₂ = 3 + 2 = 5
a₅ = a₄ + a₃ = 5 + 3 = 8
a₆ = a₅ + a₄ = 8 + 5 = 13
