Conditional Probability

Question

Using the tree diagram that you drew for problem #11 (practice), what's the probability that a respondent is both a female and right-handed? Write your answer as a percent, rounding to the tenths place, if necessary. Remember to include a % sign at the end.

Problem 11:

                                                      respondent

                                  0.17                                           0.83

                           male                                                       female

       0.67                                     0.33               0.9                                    0.1

right-handed                       left-handed    right-handed                              left-handed

Answer 1

From looking at your chart I see that 83% of the respondents are female, and of those participants, 10% of them are left handed. The problem is asking you what the probability is that the respondent will be both female and left handed. To find this probability, multiply the two percentages together.

0.83 x 0.1 = 0.083. The problem says to round to write your answer as a percent.

0.083 = 8.3%

There is a 8.3% chance that a respondent will be both female and left handed.