Reference no: EM132850462

Thirty persons are attending a 50th school reunion banquet. The waiter asks if they have any dietary restrictions. One of the group, a nutritionist, tells the waiter that 8 of them are on a low salt diet, 6 can't eat any foods containing nuts, and 14 are on diets low in saturated fat. Furthermore, 3 can't have salt, saturated fat, or nuts, 7 can't have salt or saturated fat, 3 can't have nuts or saturated fat, and 4 can't have nuts or salt. 21.

a. Draw and label the appropriate Venn diagram for this problem.

b. How many have only one of the 3 restrictions on their diet?

c. How many have none of the 3 dietary restrictions? Of 10 egg cartons, 9 contain 10 good eggs and 2 bad ones, while the tenth carton contains 2 good and 10 bad. You pick one of the cartons at random and pick out 2 eggs (without replacement). If both eggs are bad, ?nd the probability you picked the tenth carton.