Courses Homework Sets StatChapter03 Part 2: Problem 8 StatChapter Part 2 Previou
ID: 3045468 • Letter: C
Question
Courses Homework Sets StatChapter03 Part 2: Problem 8 StatChapter Part 2 Previous Problem Problem List Next Problem Proble 8 1 point User Settings A hat contains 39 Yellow slips of paper and 35 Red slips of paper (and nothing else). Two slips are selected at random from the hat. The selection is made with replacement (the first slip is put back into the hat before drawing the second slip). Grades Problems (a) The probability that both slips are Yellow is Problem 1 b) The probability that both slips are Red is Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 (c) The probability that both slips are the same color (both Yellow or both Red) is (d) The probability that the slips are different colors isExplanation / Answer
Solution:
Number of yellow slips = 39
number of red slips = 35
Total number of slips present in the hat = 39 + 35 = 74
Probability of selecting yellow slip = 39 / 74 = 0.527
probability of selecting red slip = 35 / 74 = 0.479
a) the probability that both slips are yellow P(taking 2 yellows) = P(yellow) * P (yello)
= 0.527 * 0.527
= 0.277
b) the probability that both slips are red P(taking 2 Red) = P(red) * P(red)
= 0.479 * 0.479
= 0.229
c) probability that both slips are the same color both yellow or both red = P(taking 2 yellow) + P(taking 2 red)
= 0.277 + 0.229
= 0.506
d) probability that the slips are different color = P(taking yellow) * P (taking red)
= 0.527 * 0.479
= 0.252