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
Zielflug [23.3K]
3 years ago
8

Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card an

d B be the analogous event for a MasterCard. Suppose that P(A)=.6 and P(B)=.4
1) Could it be the case that P(A∩B)=0.5? Why or why not?

2) From now on, suppose that P(A∩B)=0.3. What is the probability that the selected student has at least one of these types of cards?

3) What is the probability that the selected student has neither type of card?

4) Describe, in terms of A and B, the event that the selected student has a visa card but not a MasterCard, and then calculate the probability of this event? Calculate the probability that the selected student has exactly one of these two types of cards?
Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer:

1) is not possible

2) P(A∪B) = 0.7

3) 1- P(A∪B) =0.3

4) a) C=A∩B' and P(C)= 0.3

b)  P(D)= 0.4

Step-by-step explanation:

1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4  . Thus the maximum possible value of P(A∩B) is 0.4

2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by

P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7

P(A∪B) = 0.7

3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3

4) the event C that the selected student has a visa card but not a MasterCard is given by  C=A∩B'  , where B' is the complement of B. Then

P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3

the probability for the event D=a student has exactly one of the cards is

P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4

You might be interested in
Solve the given inequality 11x-20<_13​
RUDIKE [14]

Answer:

x ≤ 3

Step-by-step explanation:

11

x

−

20

≤

13

Step 1: Add 20 to both sides.

11

x

−

20

+

20

≤

13

+

20

11

x

≤

33

Step 2: Divide both sides by 11.

11

x

11

≤

33

11

3 0
3 years ago
Read 2 more answers
if a binomial event has a probability of success of 0.3, how many successes would you expect out of 2000 trials
marin [14]

multiply 2000 x 0.3 and you get 600

3 0
3 years ago
Subtract the second expression from the first . (5x^2-3x+5) - (3x^2-4x-7)
Doss [256]

(5x² - 3x + 5) - (3x² - 4x - 7)     Distribute/multiply - into (3x² - 4x - 7)

5x² - 3x + 5 - 3x² + 4x + 7    Combine like terms

2x² + x + 12


The answer is A

8 0
3 years ago
Please help me!! I will give brainliest to best answer
Ksju [112]

Answer:- 2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Each U.S. penny weighs 2.5 grams. How many pennies (x) are on a scale if their total weight is 37.5 grams
iris [78.8K]
All you need to do is divide 37.5 by 2.5. So 37.5/2.5 = 15. Then check your answer and do 2.5 * 15 = 37.5. So the answer is 15 pennies.
6 0
3 years ago
Other questions:
  • What is 263874 rounded to the nearest 10000
    13·1 answer
  • Lily’s sister has a bag of skittles containing 3 yellow skittles, 4 red skittles, 5 green skittles, and 3 orange skittles. What
    13·1 answer
  • Work out the length x
    12·1 answer
  • Find the length of T PLZZZZZ
    14·1 answer
  • When a particular type of thumbtack is​ dropped, it will land point up ​(A flat-top thumbtack resting on its flat top​) or point
    6·1 answer
  • Help pls fast im on an test
    9·1 answer
  • A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 20 candles today and makes $
    5·1 answer
  • Which of the following is equivalent to the complex number i^{26}i
    12·1 answer
  • The surface of An air hockey table has an area of 40 ft. Perimeter is 28 feet what are the dimension of the air hockey table
    13·1 answer
  • In 2010, Haiti was hit by a devastating earthquake, which registered at 7. 0 on the Richter scale. The largest recorded earthqua
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!