Question

In a certain urban area, 60% of the owners subscribe to Netflix and 70% to Star+. 45% subscribe to both. If an owner is selected at random. What is the probability that it only has Netflix?

65

likes
324 views

Answer to a math question In a certain urban area, 60% of the owners subscribe to Netflix and 70% to Star+. 45% subscribe to both. If an owner is selected at random. What is the probability that it only has Netflix?

Expert avatar
Cristian
4.7
116 Answers
To find the probability that an owner subscribes only to Netflix, we need to subtract the probability that an owner subscribes to both Netflix and Star+ from the probability that an owner subscribes to Netflix.

Let:
- N be the event that an owner subscribes to Netflix
- S be the event that an owner subscribes to Star+

We are given:
- P(N) = 0.60
- P(S) = 0.70
- P(N \cap S) = 0.45

The probability that an owner subscribes only to Netflix is given by P(N) - P(N \cap S) .

Therefore:
P(\text{Only Netflix}) = P(N) - P(N \cap S)
P(\text{Only Netflix}) = 0.60 - 0.45
P(\text{Only Netflix}) = 0.15

Therefore, the probability that an owner selected at random only subscribes to Netflix is \boxed{0.15} .

Frequently asked questions (FAQs)
What are the conditions for two triangles to be equal in terms of their sides and angles?
+
What is the variance of a dataset: {1, 3, 5, 7, 9}?
+
What is the surface area of a rectangular prism with length 6, width 4, and height 5?
+
New questions in Mathematics
A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.
The strength of Kefexin oral suspension is 100 mg/ml. Nora has been prescribed cefalexin at a dose of 50 mg/kg/day divided in two single doses. Nora weighs 14 kg. How many milliliters of solution for Nora should be given as a single dose?
The time it takes for a person to travel 300 m is 15 minutes. What is their speed in meters per second?
2x-y=5 x-y=4
Let I ⊂ R be a bounded and nonempty interval. Show that there are numbers a, b ∈ R with a ≤ b and I =[a,b] or I =[a,b) or I =(a,b] or I =(a,b)
Suppose 56% of politicians are lawyers if a random sample of size 564 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportions buy more than 4% round your answer to four decimal places
Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)
find f(x) for f'(x)=3x+7
The function h(t)=-5t^2+20t+60 models the height in meters of a ball t seconds after it’s thrown . Which describe the intercepts and vertex of this function
A Smooth Plane is listed for $195.00. Discounts of 12% and 10% are allowed. If the customer pays cash within 30 days, an additional discount of 3% is granted. What is the cost if a carpenter takes advantage of all the discounts offered?
Jasminder has made 55% of the recipes in a particular cookbook. If there are 9 recipes that he has never made, how many recipes does the cookbook contain?
A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?
2X+2=8
Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.
A salesperson earns a base salary of $600 per month plus a commission of 10% of the sales she makes. You discover that on average, it takes you an hour and a half to make $100 worth of sales. How many hours will you have to work on average each month for your income to be $2000?
Find the set of points formed by the expression 𝜋<|𝑧−4+2𝑖|<3𝜋.
8. Measurement Jillian measured the distance around a small fish pond to be 27 yards. What would be a good estimate of the distance across the pond: 14 yards, 9 yards, or 7 yards? Explain how you decided.
1. The cost to transport 250 packages of cement 120 kilometers is $600. What will be the cost to transport 500 packages 300 kilometers?
It costs a manufacturer $2,500 to purchase the tools to manufacture a certain homemade item. If the cost for materials and labor is 60¢ per item produced, and if the manufacturer can sell each item for 90¢, find how many items must he produce and sell to make a profit of $2000?
A plant found at the bottom of a lake doubles in size every 10 days. Yeah It is known that in 300 days it has covered the entire lake, indicate how many days it will take to cover the entire lake four similar plants.