1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AlexFokin [52]
3 years ago
8

Consider randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let B

be the analogous event for MasterCard, and let C be the event that the selected student has an American Express card. Suppose that P(A) = 0.6, P(B) = 0.4, and P(A ∩ B) = 0.3, suppose that P(C) = 0.2, P(A ∩ C) = 0.12, P(B ∩ C) = 0.1, and P(A ∩ B ∩ C) = 0.07. (a) What is the probability that the selected student has at least one of the three types of cards?
Mathematics
1 answer:
Tems11 [23]3 years ago
5 0

Answer:

0.75

Step-by-step explanation:

Given,

P(A) = 0.6, P(B) = 0.4, P(C) = 0.2,

P(A ∩ B) = 0.3, P(A ∩ C) = 0.12, P(B ∩ C) = 0.1 and P(A ∩ B ∩ C) = 0.07,

Where,

A = event that the selected student has a Visa card,  

B = event that the selected student has a MasterCard,  

C = event that the selected student has an American Express card,

We know that,

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)

= 0.6 + 0.4 + 0.2 - 0.3 - 0.12 - 0.1 + 0.07

= 0.75

Hence, the probability that the selected student has at least one of the three types of cards is 0.75.

You might be interested in
Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th
lord [1]

Answer:

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?    

Let us convert time taken into hours as:

\text{Days}=5\times 12=60

\text{Minutes}=60\times 45

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

\text{Hours}=\frac{60\times 45}{60}=45

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Therefore, Sebastian's average rate is 40 laps per hour.

6 0
3 years ago
Sharif drove 295 miles from st. Louis to Detroit at an average speed of 65mp. which equation can be used to find the time of the
alukav5142 [94]

Answer:

it should be 295 - 65 = x

Step-by-step explanation:

8 0
3 years ago
Which numbers round to 2,300 when rounded to the nearest hundred
pentagon [3]

Answer: the 3

Step-by-step explanation:

It goes ones, tens, hundreds, thousands, etc. You round the 3 (down, less than 5) because that is in the hundreds place.

7 0
3 years ago
Read 2 more answers
Help❗️Anybody know how to do this stuff?
Lunna [17]

I wish I did I would help u out but I hope u have luck

7 0
3 years ago
An amount of $ 8,000 was invested at 6% interest that is compounded yearly. The equation
sladkih [1.3K]

Answer:

The answer is 12000 roundes to the neatest thousand

Step-by-step explanation:

In your calculator just substitute 7 into t

8000 ×1.06 to the power of 7

8 0
2 years ago
Other questions:
  • What is the derivative of 5cos^2(pi)(t)?
    15·1 answer
  • What is the ratio of 24 to 32?
    15·1 answer
  • If 5 dogs share equally a bag of dog treats, each dog gets 24 treats. Suppose 8 dogs share the bag of treats equally. How many t
    8·2 answers
  • Need help with proportions 22/27=x/18. x=???​
    11·2 answers
  • Why does this system of equations have infinitely many solutions?
    15·1 answer
  • Kelly ate 3 apples. This represents 20% of a bag of apples. How many apples were originally in the bag?​
    7·2 answers
  • What is the missing reasons in the proof?
    15·2 answers
  • 261, 256,251,... what would be the 46th term
    8·1 answer
  • N Which point represents the opposite of -2? D -5 -4 -3 -2 -1 0 1 2 3 4 5 Ο Α OB​
    14·1 answer
  • Which diagonal (IE or KT) is the line of symmetry for kite KITE below? Explain.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!