MATH 1280 - Unit 3

b.48/90

A box of cookies contains three chocolate and seven butter cookies. A person randomly selects a cookie and eats it. Then the person randomly selects another cookie and eats it. Use the tree diagram below to answer the following question. Let S be the event that both cookies selected were the same flavor. Find P(S). a.6/90 b.48/90 c.21/90

c.42/90

A box of cookies contains three chocolate and seven butter cookies. A person randomly selects a cookie and eats it. Then the person randomly selects another cookie and eats it. Use the tree diagram below to answer the following question. Let T be the event that the cookies selected were different flavors. Find P(T). a.6/90 b.48/90 c.42/90

a.63/90

A box of cookies contains three chocolate and seven butter cookies. A person randomly selects a cookie and eats it. Then the person randomly selects another cookie and eats it. Use the tree diagram below to answer the following question. Let U be the event that the second cookie selected is a butter cookie. Find P(U). a.63/90 b.49/90 c.21/90

a.0

E and F are mutually exclusive events. P(E) = 0.4; P(F) = 0.5. P(E∣F) = ___________. a.0 b.0.25 c.2

b.0.0394

Given the Venn diagram below, answer the following question: Find P (F AND HC). a.0.0346 b.0.0394 c.0.9014

c. 0.0592

Given the Venn diagram below, answer the following question: Find P (F OR HC). a.0.0346 b.0.074 c.0.0592

b.0.074

Given the Venn diagram below, answer the following question: Find P(F). a.0.0346 b.0.074 c.0.9014

a.0.064

Given the Venn diagram below, answer the following question: Find P(HC). a.0.064 b.0.0394 c.0.9014

b.No

Roll two fair dice separately. Each dice has six faces. Let A be the event that either a three or four is rolled first, followed by an even number. Let B be the event that the sum of the two rolls is at most seven. Are A and B independent events? a.Yes b.No

b.No

Roll two fair dice separately. Each dice has six faces. Let A be the event that either a three or four is rolled first, followed by an even number. Let B be the event that the sum of the two rolls is at most seven. Are A and B mutually exclusive events? a.Yes b.No

a.7/36

Roll two fair dice separately. Each dice has six faces. Let A be the event that either a three or four is rolled first, followed by an even number. Let B be the event that the sum of the two rolls is at most seven. P (A AND B) = _______. a.7/36 b.1/36 c.5/36

c.1/7

Roll two fair dice separately. Each dice has six faces. Let A be the event that either a three or four is rolled first, followed by an even number. Let B be the event that the sum of the two rolls is at most seven. P(A|B) = ________. a.1/6 b.1/5 c.1/7

b.6/36

Roll two fair dice separately. Each dice has six faces. Let A be the event that either a three or four is rolled first, followed by an even number. P(A) = _________. a.6/21 b.6/36 c.21/36

c.21/36

Roll two fair dice separately. Each dice has six faces. Let B be the event that the sum of the two rolls is at most seven. P(B) = _____________. a.36/21 b.6/21 c.21/36

a.0

U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. P (U AND V) = _________. a.0 b.0.26 c.0.63

c.0.63

U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. P (U OR V) = ______________. a.0.37 b.0 c.0.63

c.0

U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. P(U|V) = ____________. a.0.5 b.0.26 c.0