Question

Anthony teaches a pottery painting class in order to save up money for a nice

bike. In yesterday's class, 5 of the 11 students painted piggy banks.
If Anthony randomly chose 4 of the pieces of pottery to glaze, fire, and set on
the top shelf in a certain order, what is the probability that just the first 2 of the
chosen pieces of pottery are piggy banks?

Answer 1

To find the probability that just the first 2 chosen pieces of pottery are piggy banks, we use combinations to calculate the number of favorable outcomes and the total number of possible outcomes. The probability is then calculated as the ratio of the number of favorable outcomes to the total possible outcomes.

Step-by-step explanation:

To find the probability that just the first 2 chosen pieces of pottery are piggy banks, we need to calculate the number of favorable outcomes divided by the total number of possible outcomes.

The number of favorable outcomes is the number of ways Anthony can choose 2 piggy banks from the 5 available.

This can be calculated using combinations as C(5,2) = 10.

The total number of possible outcomes is the number of ways Anthony can choose 4 pieces of pottery from the 11 total.

This can be calculated using combinations as C(11,4) = 330.

Therefore, the probability that just the first 2 chosen pieces of pottery are piggy banks is 10/330, or approximately 0.0303.