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
mezya [45]
3 years ago
13

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 MasterCard. Suppose that P(A) = 0.6 and P(B) = 0.3. (a) Could it be the case that P(A ∩ B) = 0.5? Why or why not? [Hint: For any two sets A and B if A is a subset of B then P(A) ≤ P(B).]
Mathematics
1 answer:
poizon [28]3 years ago
8 0

Answer:

We have that B = 0.3.

So

0.3 = b + (A \cap B)

However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.

Step-by-step explanation:

Event A:

Probability that a student has a Visa card.

Event B:

Probability that the student has a MasterCard.

We have that:

A = a + (A \cap B)

In which a is the probability that a student has a Visa card but not a MasterCard and A \cap B is the probability that a student has both these cards.

By the same logic, we have that:

B = b + (A \cap B)

In this problem, we have that:

A = 0.6, B = 0.3

(a) Could it be the case that P(A ∩ B) = 0.5?

We have that B = 0.3.

So

0.3 = b + (A \cap B)

However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.

You might be interested in
Please help me! 10 pts and brainliest! please
luda_lava [24]

Answer:

B is correct

Step-by-step explanation:

i think

7 0
2 years ago
Shop Rite ordered 336 cases of Oreos with 42 packages in each case. What is the total number of Oreo packages that Shop Rite ord
Makovka662 [10]

Answer:

14112

Step-by-step explanation:

USE A CALCULATOR

4 0
3 years ago
Read 2 more answers
The Walnut Cove Ruritan Club sells hot dogs and drinks from a concession stand at the annual July 4 parade. Carl bought 6 hot do
pickupchik [31]

Based on the two different purchases, you can write equations for the price of a hotdog (h) and that of a drink (d). These equations can be solved by your favorite method to find the individual prices.

... 6h +4d = 17.00 . . . . . . Carl's purchase

... 3h +4d = 12.50 . . . . . . Susan's purchase

We can see that the difference in purchase cost (of $4.50) is due entirely to the difference in the number of hotdogs (3). Thus, the price of a hotdog must be

... $4.50/3 = $1.50

The 4 drinks are then ($12.50 -4.50) = $8, so must be $2 each. You don't need to figure the cost of a drink to determine that the appropriate answer choice is ...

... D. $1.50 for a hot dog; $2.00 for a drink.

5 0
3 years ago
What is the ordinate of the point (-9,4)?
statuscvo [17]

Answer:

-9

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Please help quickly!
steposvetlana [31]

Answer:

The Correct option is A) 8

The value of a is 8.

Step-by-step explanation:

Vertical Angles:  

The angles opposite each other when two lines cross.

They are always equal.

∠ 2(3a-7)° and ∠ (5a-6)° are vertical angles.Hence are equal.

So on Substituting we get

2(3a-7)\°=(5a-6)\°

Applying distributive property we get

2\times 3a-2\times 7=5a-6\\6a-14=5a-6\\6a-5a=14-6\\\\\therefore a=8

The value of a is 8

The Correct option is A) 8

7 0
2 years ago
Other questions:
  • Find the distance between P(2, 8) and Q(5, 3).
    5·1 answer
  • While Playing Yahtzee and rolling 5 dice, Mei gets the result shown at right (the numbers are 2, 4, 4, 4, and 1). Mei decides to
    14·1 answer
  • Express each number in scientific notation: 268.3
    15·1 answer
  • The area of a square garden is 1/144mi^2. How long is each side
    5·1 answer
  • Find the length of the missing side. The triangle is not drawn to scale.
    14·1 answer
  • Which is the slope of the line that connects points (3,17) and (7,25) ?
    13·2 answers
  • Expand and evaluate the power<br> (1.6) ^2<br><br> A. 3.6<br> B. 3.2<br> C. 2.56<br> D. 0.8
    6·2 answers
  • Can someone help solve for number 3a and 3b
    13·1 answer
  • 02:32:00
    7·1 answer
  • Are simplified ratios written in units?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!