Consider randomly sclecting a student at a cortain university, and suppose that the probability they have a Visa is 0.5, the probability they have a Mastercard is 0.4, and the probability that thcy have at lcast onc of the two cards is 0.65. What is the probability that thcy have both a Visa card and a Mastercard?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Q26 to Q30 Please provide justified answer for each part asap to get a upvote # Final answers please
Question 26 (
Consider randomly selecting a student at a cortain university, and suppose that the
probability they have a Visa is 0.5, the probability they have a Mastercard is 0.4. and
the probability that they have at lcast one of the two cards is 0.65. What is the
probability that they have both a Visa card and a Mastercard?
Question 27 (
If
IES=IET
which of the following hald?
SUT =S
TES-T
SnT=S
SCT
T-S=0
Question 28 (
What is the maximum number of possible edges in an undirected graph G (with no
loops or multiple edges), where G has 127 vertices?
Question 29,
Suppose there s a class of 20 students, consisting of 13 boys and 7 girls. A student
council necds to be selected. consisting of 5 boys and 4 girls. However, two of the
girls refuse to work together, as one insists that calculus is more uscful than lincar
algcbra, and tho other, an avid Matlab uscr, cannot accept this. How many valid
student council combinations can there be, assuming these two girls cannot both be
on the council?
Question 30 .
Let A = Ja,b.c.d,cf). Identity all staternents that are true.
{a} COUA
{마} 50
vu{p'o} 5 {p'b}
{a} € A
{a, b} n {c, d} 드 A
{c} C {a}UA
CS Scanned with CamScanner
O O O O
O O O O O O
Transcribed Image Text:Question 26 ( Consider randomly selecting a student at a cortain university, and suppose that the probability they have a Visa is 0.5, the probability they have a Mastercard is 0.4. and the probability that they have at lcast one of the two cards is 0.65. What is the probability that they have both a Visa card and a Mastercard? Question 27 ( If IES=IET which of the following hald? SUT =S TES-T SnT=S SCT T-S=0 Question 28 ( What is the maximum number of possible edges in an undirected graph G (with no loops or multiple edges), where G has 127 vertices? Question 29, Suppose there s a class of 20 students, consisting of 13 boys and 7 girls. A student council necds to be selected. consisting of 5 boys and 4 girls. However, two of the girls refuse to work together, as one insists that calculus is more uscful than lincar algcbra, and tho other, an avid Matlab uscr, cannot accept this. How many valid student council combinations can there be, assuming these two girls cannot both be on the council? Question 30 . Let A = Ja,b.c.d,cf). Identity all staternents that are true. {a} COUA {마} 50 vu{p'o} 5 {p'b} {a} € A {a, b} n {c, d} 드 A {c} C {a}UA CS Scanned with CamScanner O O O O O O O O O O
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