The manager of a gas station and convenience store tabulates the following facts: 40% of customers purchase gasoline (G). 36% of customers purchase cigarettes (C). 61% of customers purchase gasoline or a drink (D). 9% of customers purchase gasoline and cigarettes. 14% of customers purchase a gasoline and a drink. 15% of customers purchase cigarettes and a drink. 2% of customers purchase all three items. (a) If we randomly select a customer, what is the probability that she purchases gasoline or cigarettes? (b) If we randomly select a customer, what is the probability that

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The manager of a gas station and convenience store tabulates the following facts: 40% of customers purchase gasoline (G). 36% of customers purchase cigarettes (C). 61% of customers purchase gasoline or a drink (D). 9% of customers purchase gasoline and cigarettes. 14% of customers purchase a gasoline and a drink. 15% of customers purchase cigarettes and a drink. 2% of customers purchase all three items. (a) If we randomly select a customer, what is the probability that she purchases gasoline or cigarettes? (b) If we randomly select a customer, what is the probability that

Mathematics
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P(A or B) = P(A)+ P(B)-P(A and B) here, A = gasoline, B =cigarette
you know all 3, P(A),P(B),P(A and B) just plug in values!
0.04+0.36-?

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Other answers:

40% = 0.4 and P(G and C) is given as % = 0.09
9%
what about P(A and B)
oh I got it
what you got as final answer ?
what about b ?
complete question ?
i got 0.67
is that right?
lets check, P(G or C) = 0.4+0.36-0.09 = 0.76-0.09 = 0.67 yes, you are correct :)
what about b?
you haven't posted question for b
If we randomly select a customer, what is the probability that she purchases a drink
sorry
?
can you make a venn diagram for your question ?
can you give me some idea?
|dw:1362261956915:dw|
yes^ from that can you find probability of drink ? just add all the values in D circle.
Makes you wonder what the last 25% are doing. Using the washroom or casing the joint.
0.35?
That looks good to me.
correct :)
awesome
t more quick questions
Which of the following statements is true? G and D are independent. G and C are independent. C and D are independent. None of the three pairs of events are independent.
You might want to go over how to do that diagram. That's a fundamental skill for these types of questions.
ok thanks
(d) Which of the following statements is true? C and D are mutually exclusive. G and D are mutually exclusive. G and C are mutually exclusive. None of the three pairs of events are mutually exclusive.
mutually exclusive events have intersection = 0 or if P(A and B)=0, then A, B are mutually exclusive.
so, do you find any such pair here ?
G and D are mutually exclusive.
?
G and D = 12+2 , its not 0
None of the three pairs of events are mutually exclusive.
yeah.
what about the previous one about independent?
for independent , P(A and B) = P(A)*P(B) so, you need to check this for all 3 pairs.
pg and pd , i got 0.14
how ?
P(G or D)=0.61
Pg is 0.4
14% of customers purchase a gasoline and a drink P(g and d)so it;s going to be 0.14
'or' ?? you need to use 'and'
P(g and d)so it;s going to be 0.14 is correct
so?
G and C we have 0.65
is that = p(g)*p(d) ??
oh no
then G and D are not independent.
0.144?
similar check for other 2 pairs.
why they are not independent?
0.216
so None of the three pairs of events are independent.
yeah
ok last question, i actually got the answer could you help me to check it?
yes?
What is P(C Dc), i.e., the probability that a randomly selected customer purchases cigarettes but not a drink?
i got 0.21
correct :)
thank you very much?
welcome?
wait
for this part
Which of the following statements is true? G and D are independent. G and C are independent. C and D are independent. None of the three pairs of events are independent.
answer is not None of the three pairs of events are independent
?
i didn't calculate for all 3, but looking at numbers, i think its None...
yeah, but its not.
can you help me to check it please?
i still get none :( lets have a 2nd opinion by @tcarroll010
help me on this one
Which of the following statements is true? G and D are independent. G and C are independent. C and D are independent. None of the three pairs of events are independent.
im not sure, what are independent
Independent means that the occurrence of one does not affect the probability of the other.
Is there just one answer?
in this one, what are independent
yeah, they are multiple choice
Then I guess I would choose G and C
why?
can you explain it?
Because I can't see how one affects the other.
answer is wrong
Do you get another chance?
yes last chance
And you already tried "none"?
yes
So it's a 50-50 chance. Let's see if we can pick out any difference in the two remaining choices.
C & D don't mention the same commodity. If I had to guess, (and I would be guessing) that's what I would put.
my queststion is this
Which of the following statements is true? G and D are independent. G and C are independent. C and D are independent. None of the three pairs of events are independent
cuz , we are not sure
Hey so what did u get in the end? Is it c and d

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