A woman is frustrated with her online dating experience, feeling that it has made her define her ideal partner too specifically. She wants someone who likes vegetables, graduated from college, and loves dogs. She has agreed to invite one person on a date from a list of ten people generated by her friends.

She will choose the date at random. She will know nothing about the person before the date. Table 6.9 gives information about each of the ten potential dates.

a. Make a table listing all of the possible combinations of the three characteristics for the potential dates. Label each combination with a number (e.g., “Combination 1”).

b. Make a frequency distribution showing how the ten potential dates are distributed across the possible combinations of the three characteristics that you identified in Part

a. Include a column showing the frequency of each combination and a column showing each combination’s relative frequency.

c. Use your frequency distribution from Part b to find the probability that the woman will go on a date with someone who possesses all three of her desired traits. Give the probability as a fraction, a proportion, and a percentage.