Question

Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.

Answer 1

For two shots Pedro has four outcomes:

1 shot | 2 shot

score | score

score | not score

not score | score

not score | not score

The probability Pedro's shot will score in a lacrosse game is 0.30 and the probability his shot will not score in a lacrosse game is 1-0.30=0.70. So you can count probabilities for all cases:

1. 0.3·0.3=0.09;

2. 0.3·0.7=0.21;

3. 0.7·0.3=0.21;

4. 0.7·0.7=0.49.

In total 0.09+0.21+0.21+0.49=1. The first outcomes is that what you need.

Answer: 0.09.

Answer 2

If the probability of making a shot is 3/10, the probability of making two shots in a row is:

(3/10)(3/10)=9/100   (9%)