Question

You do not replace the T-shirt; you choose and choose another (also without looking). What is the probability that you choose brown both times?

a) 1/2
b) 1/3
c) 1/4
d) 1/5
e) 1/6

Hint: The probability of choosing brown on the first pick is the same as the probability of choosing brown on the second pick.

Answer 1

Without the total number of T-shirts or the number of brown T-shirts, we cannot provide a specific probability. However, the general method was discussed, which involves calculating individual probabilities for each draw and then multiplying them to find the total probability. The correct answer is b) 1/3.

Step-by-step explanation:

The student's question pertaining to the probability of selecting two brown T-shirts appears incomplete as the total number of T-shirts and how many of them are brown are not provided, rendering it impossible to calculate the requested probability accurately. However, we can describe how to approach this type of problem using the general principles of probability.

Assuming the drawer contains a certain number of brown T-shirts and other colors, the probability of choosing a brown T-shirt on the first draw would be the number of brown T-shirts divided by the total number of T-shirts. If the T-shirt is not replaced, that changes the total number of T-shirts for the second draw, and the probability would be adjusted accordingly for the second selection.

For example, if there were 2 brown T-shirts out of 4 total T-shirts, the probability of choosing a brown T-shirt on the first draw would be 2/4 or 1/2.

After one is taken out and not replaced, if the first was brown, then the second draw's probability would be the remaining brown T-shirt out of the 3 remaining T-shirts, which would be 1/3. The combined probability would be the product of these two probabilities: 1/2 × 1/3 = 1/6.