Question

question 3 of 5 the stem - and - leaf plot shows the number of points a basketball player on the new orleans krewe scored in each of 15 games. (note: for example, 20 points would have a stem value of 2 and a leaf value of 0.) if a game represented in the stem - and - leaf plot is randomly chosen, what is the probability that the basketball player scored exactly 17 points in that game? a) 1/5 b) 3/5 c) 3/19 d) 51/190

Explanation:

Step1: Count total number of data - points

The stem - and - leaf plot represents the scores in 15 games. So the total number of data - points (n) is 15.

Step2: Count number of times 17 points is scored

Looking at the stem - and - leaf plot, for the stem value of 1 and leaf value of 7, the number of times 17 points is scored is 3.

Step3: Calculate probability

The probability (P) of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (m) is 3 (number of times 17 points is scored) and the total number of outcomes (n) is 15. So $P = \frac{3}{15}=\frac{1}{5}$.

Answer:

A. $\frac{1}{5}$