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
119 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 is the vertex form equation for a parabola with a vertex at (3, -2) and a coefficient of 2 for the x^2 term?
+
What is the measure of an angle formed by the diagonals of a regular hexagon?
+
What is Pythagorean Theorem? (
+
New questions in Mathematics
A circle with a 12-inch diameter is folded in half and then folded in half again. What is the area of the resulting shape?
Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5
(m²-121)
Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)
Log(45)
Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?
How many anagrams of the word STROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.
find x in the equation 2x-4=6
The following table shows the frequency of care for some animal species in a center specializing in veterinary dentistry. Species % Dog 52.8 Cat 19.2 Chinchilla 14.4 Marmoset 6.2 Consider that the center only serves 10 animals per week. For a given week, what is the probability that at least two are not dogs? ATTENTION: Provide the answer to exactly FOUR decimal places
7=-4/3y -1
Which of the methods below can be used to workout 95% of an amount? a. Dividing the amount 100 and multiply by 95 b. Working out 5% of the amount and taking it away from the full amount c. Dividing 95 by 100 and multiplying the answer by the amount d. Dividing the amount by 95 and then multiply by 100
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?
Calculate the difference between 407 and 27
A given initial capital in simple interest at the annual rate and for 27 months produced the accumulated capital of 6600 um if the same capital had been invested at the same rate but during 28 months the said accumulated capital would be increased in an amount corresponding to 0.75% of the initial capital Calculate the initial capital and the annual rate at which it was invested
Find the set of points formed by the expression 𝜋<|𝑧−4+2𝑖|<3𝜋.
2 - 6x = -16x + 28
An export company grants a bonus of $100,000 pesos to distribute among three of its best employees, so that the first receives double the second and the latter receives triple the third. How much did each person receive?
Let f(x)=-1/2x+5 evaluate f(-6)
Paul invites 12 friends to his birthday. He wants to give 15 candies to everyone two. The candies are sold in packs of 25. How many should he buy? packages?
Write an equation of the affine function whose graph is perpendicular to the graph of f(x) = 5x − 1 and passes through the point (5, 20).