Answer:
33.04% probability that exactly five of them are black
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the buttons are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
Five black buttons, from a set of 10
Four brown buttons, from a set of 6.

Total outcomes:
Nine buttons, from a set of 16.

Probability:

33.04% probability that exactly five of them are black
ANSWER
2(32-343x)
As calculated in the photo above
Answer:
1
Step-by-step explanation:
The difference between a number and its successor is 1
Answer:
24 bars of treasure
Step-by-step explanation:
You just need to do the opposite in order to find the total value since you divided the treasure up we need to multiply the treasure “back”.
3 buried bars is equal to 1/3 of the remaining treasure. Multiply by 3 to get 3/3 or 100% of buried and crew portion. So we now have 9 bars. Then multiply by 2 to get 100% of what was given to bill, crew and buried. We now have 18 bars. Then we know that we took 1/4 for ourselves so that means 18 bars represents 3/4 of the treasure. So when we look at factors of 18 we find that 3 x 6 = 18 and 4 x 6 = 24 so we conclude that we had 24 bars of treasure before the split.