Summarizing Our Findings
Before moving on, let’s step back and take a look at what we’ve done so far. Figure 7.2 shows the simple, joint, and conditional probabilities in the relative frequency distribution for our tennis matches.
Summary of probabilities for the tennis example.
◆ Event A’ = Bob wins the match.
◆ Event B’ = The warm-up is 10 minutes or more.
These conditional probabilities have revealed my secret to success on the court. The probability of my winning after a short warm-up, P[A’/B], is 0.69; whereas the probability of my winning after a longer warm-up, P[A’/B’], is 0.29. I knew I should have ...