2. A survey of 259 families was made to determine their vacation habits. The two way table below sorts the families by location and the vacations by the length of the vacation.
Rural Suburban Urban Total 1–7 days 80 39 37 156 8ormore days52 32 19 103 Total 132 71 56 259 What is the probability that a randomly selected family was suburban given that they spent 8 or more days on vacation? (1 point)
0,12 0,31 0,45 0,5 28,24 You draw one card from a shuffled standard deck of cards (cards are in four suits —red diamonds, red hearts, black clubs, and black spades— and are numbered 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A).
a) What is the probability of drawing a red card? b) What is the probability of drawing a queen? c) What is the probability of drawing a red queen? d) What is the probability of drawing a queen given that you drew a face card (face cards are jacks, queens, and kings)?

Respuesta :

                             Rural     Suburban       Urban         Total
1–7 days               80              39                 37              156 
8 or more days     52              32                19               103
Total                     132              71                56               259

What is the probability that a randomly selected family was suburban given that they spent 8 or more days on vacation?   32/259 = 0.1236 or 12.36%

Standard deck. 4 suits. 

a) What is the probability of drawing a red card? 26/52 = 0.50 or 50% 
b) What is the probability of drawing a queen? 4/52 = 0.08 or 8%
c) What is the probability of drawing a red queen? = 2/52 = 0.04 or 4%
d) What is the probability of drawing a queen given that you drew a face card (face cards are jacks, queens, and kings)? 4/12 = 0.33 or 33%