MATH Self Quiz 1 to 3 All Questions in the Bank and Answers 2023

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
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
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
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




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

,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

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
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
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
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). =
42/90
Let S be the event that both cookies selected were the same flavor. Find P(S).=
48/90

, Let U be the event that the second cookie
selected is a butter cookie. Find P(U).= 63/90




Find P (F OR HC). = 0.0592

Find P (F AND HC).= 0.0394
Find P(HC). = 0.064
Find P(F). = 0.074




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

The Customers Service Center of a large bank receive calls from customers. The number of
incoming calls between 8:00 AM and 8:10 AM in consecutive days were recorded. The number
of incoming calls during the working days of the month of September were 8, 10, 6, 7, 12, 7, 8,
7, 8, 6, 9, 4, 6, 14, 10, 10, 10, 10, 6, 10, 12, 7. The number of incoming calls during the working
days of the month of February were 9, 11, 14, 6, 4, 6, 7, 3, 3, 2, 5, 6, 6, 5, 6, 7, 5, 4, 3, 5. In light
of the description given, select the correct answer. The average number of calls that arrived
between 8:00 AM and 8:10 AM during the working days of any month is:
a.
A population.
b.
A sample.
c.
A parameter.
d.
A statistic.