Question

Natalia Knox tosses a fair die six times. What is the probability that she will toss exactly two 5's?

Answer 1

`\large\boxed{\large\boxed{1/36}}`

Step-by-step explanation:

1. By definition

• Probability = # favorable outcomes / # possible outcomes

2. Possible outcomes

The possible outcomes is the sample space. The first toss has 6 possible outcomes and the second toss has other 6 possible outcomes; thus, the sample space has 6 × 6 = 36 different outcomes.

3. Favorable outcomes

Tossing exactly two 5's is just one of the 36 possible outcomes. Thus. the number of favorable otucomes is 1.

4. Computation

• Probability = 1/36