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