Carlos scores on 65 percent of his shots, and is 90 percent likely to score his second given he scored his first. What is the chance he scores both?

1. The chance of both happening is the chance of the first times the chance of the second given the first. 2. The chance of scoring the first shot is 0.65. 3. The chance of scoring the second given the first is 0.90. 4. Multiply 0.90 by 0.65. 5. Nine tenths of 0.65 is 0.585. 6. So the chance of scoring both is 0.585. 7. Answering 0.423 multiplies 0.65 by 0.65, which would only be right if the two shots were independent. 8. Answering 0.650 or 0.900 quotes one of the two given figures without combining them. _Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 3.3 Two Basic Rules of Probability_