Question

1) Draw a Venn Diagram to show and list the set: If A = {1, 5, 7, 6}, B = {2, 3, 6, Bob} and C = {Mary, 7, 6, 3}, then what is (B∪A)∩C?

2) What is B x A where A = {headache, stress} and B = {homework, test}.

3) A local cafe is offering free samples for thirteen different coffee flavors. After sampling, the customer must rank the flavors in order of preference. What are the chances that you guess the 3 least liked flavors correctly and in the correct order?

Answer 1

1) B U A = {1, 2, 3, 5, 6, 7, Bob}

C = {Mary, 7, 6, 3}

= {3, 6, 7} because these 3 are common in B U A and C.

2) B x A = {(homework, headache), (homework, stress), (test, headache), (test, stress)}

3) As order is important so we use permutations here.

Total ways = P(13, 3)

And there is only 1 way to get these in correct order.

Hence, P(3 least in correct order) = 1/1716 is the probability for that.

I hope this will help. Thank you.