Suppose your friends have the following ice cream flavor preferences:70% of your friends like Chocolate (C). The remaining do not like Chocolate.40% of your friends like Sprinkles (S) topping. The remaining do not like Sprinkles.25% of your friends who like Chocolate (C) also like Sprinkles (S).Of the friends who like Chocolate, which of the following probabilities do you need to find in order to determine the proportion of friends who like Chocolate that also like Sprinkles? P(C) P(S) P(C and S) P(C | S) P(S | C)Question 2Select one answer.10 pointsSuppose your friends have the following ice cream flavor preferences:70% of your friends like chocolate (C). The remaining do not like chocolate.40% of your friends like sprinkles (S) topping. The remaining do not like sprinkles.25% of your friends who like Chocolate (C) also like sprinkles (S).Of the friends who like sprinkles, what proportion of this group likes chocolate? (Note: Some answers are rounded to two decimal places.) 0.11 0.28 0.36 0.56 0.63Question 3Select one answer.10 pointsSuppose a basketball team had a season of games with the following characteristics:Of all the games, 60% were at-home games. Denote this by H (the remaining were away games).Of all the games, 25% owere wins. Denote this by W (the remaining were losses).Of all the games, 20% were at-home wins.If the team won a game, how likely is it that this was a home game? (Note: Some answers are rounded to 2 decimal places.) 0.05 0.12 0.15 0.42 0.80Question 4Select one answer.10 pointsDogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be the emergence of characteristics such as deafness. A 1992 study of Dalmatians (by Strain and others, as reported in The Dalmatians Dilemma) found the following:(i) 31% of all Dalmatians have blue eyes.(ii) 38% of all Dalmatians are deaf.(iii) If a Dalmatian has blue eyes, there is a 42% chance that it is deaf.Based on the results of this study is "having blue eyes" independent of "being deaf"? No, since 0.38 is not equal to 0.42. Yes, since 0.31 * 0.38 is not equal to 0.42. Yes, since 0.38 is not equal to 0.42. No, since 0.31 is not equal to 0.42.