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
Daniel [21]
3 years ago
10

In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25

. Use the equation P(AUB)=P(A) + P(B) - P(ANB), where A and B are any events, to compute the probability that the number drawn is prime or greater than 12.
The probability that the number drawn is prime or greater than 12 is : ___________
Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

Answer:

17/25

Step-by-step explanation:

The equation for the probability of two events that are not mutually exclusive is:

p(A ∨ B) = p(A) + p(B) - p(A ∧ B)

A = the number is prime

B = the number is prime

The numbers are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Here are the 8 prime numbers that satisfy event A:

3, 5, 7, 11, 13, 17, 19, 23

p(A) = 8/25

Here are the 13 numbers that are greater than 12 that satisfy event B:

13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

p(B) = 13/25

Here are the 4 numbers that satisfy both event A and event B:

13, 17, 19, 23

p(A ∧ B) = 4/25

p(A ∨ B) = p(A) + p(B) - p(A ∧ B)

p(A ∨ B) = 8/25 + 13/25 - 4/25

p(A ∨ B) = 17/25

You might be interested in
Are your finances, buying habits, medical records, and phone calls really private? A real concern for many adults is that comput
Andrej [43]

Answer:

a)There is a 4.88% probability that none is concerned that employers are monitoring phone calls.

b)There is a 7.89% probability that all are concerned that employers are monitoring phone calls.

c)There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.

Step-by-step explanation:

The binomial probability is the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).

It is given by the following formula:

P = C_{n,x}.p^{n}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of a success.

In this problem, a success is being concerned that employers are monitoring phone calls.

53% of adults are concerned that employers are monitoring phone calls, so p = 0.53

(a) Out of four adults, none is concerned that employers are monitoring phone calls.

Four adults, so n = 4.

Is the probability of 0 successes, so x = 0.

P = C_{n,x}.p^{n}.(1-p)^{n-x}

P = C_{4,0}.(0.53)^{0}.(0.47)^{4}

P = 0.0488

There is a 4.88% probability that none is concerned that employers are monitoring phone calls.

(b) Out of four adults, all are concerned that employers are monitoring phone calls.

Four adults, so n = 4.

Is the probability of 4 successes, so x = 4.

P = C_{n,x}.p^{n}.(1-p)^{n-x}

P = C_{4,0}.(0.53)^{4}.(0.47)^{0}

P = 0.0789

There is a 7.89% probability that all are concerned that employers are monitoring phone calls.

(c) Out of four adults, exactly two are concerned that employers are monitoring phone calls.

Four adults, so n = 4.

Is the probability of 4 successes, so x = 2.

P = C_{n,x}.p^{n}.(1-p)^{n-x}

P = C_{4,2}.(0.53)^{2}.(0.47)^{2}

P = 0.3723

There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.

3 0
3 years ago
Lena is asked to write an explicit formula for the graphed geometric sequence (3,6.25) (2,2.5) (1,1)
harkovskaia [24]
The correct answer for this question is this one: "2.5"
Lena is asked to write an explicit formula for the graphed geometric sequence. The value, written as a decimal, should Lena use as the common ratio that is 2.5There exists the same question from other source with the image is shown.
Hope this helps answer your question and have a nice day ahead.
3 0
3 years ago
Read 2 more answers
What is the product of 379 and 8
Tanya [424]
The product of 379 and 8 is 3032, that other answer was wrong they answered with the sum (addition) not the product (multiplication)
7 0
3 years ago
Read 2 more answers
Help please its math on this test.
Karo-lina-s [1.5K]

Step-by-step explanation:

Fractions with only factors of 2 and 5 are terminating. If not, they give repeating decimals.

Therefore 17/8 and 34/16 are terminating whereas 2/13, 5/24 and 6/7 are repeating decimals.

3 0
3 years ago
Solve the system of equations by substitution. What is the solution for x? (1 point)
Cerrena [4.2K]
                 2x + y = 1
          2x - 2x + y = 1 - 2x
                         y = 1 - 2x
                         y = -2x + 1
               4x + 2y = -1
    4x + 2(-2x + 1) = -1
4x + 2(-2x) + 2(1) = -1
          4x - 4x + 2 = -1
                         2 ≠ -1

The solution of the problem can't be a solution because they are both parallel lines, which means they have no solution.
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the measure in degrees of angle EDF?
    14·2 answers
  • Which sequence is modeled by the graph below? coordinate plane showing the points 1, 1; 2, 2; 3, 4; and 4, 8
    8·1 answer
  • The line y= - 3 is?<br> A: horizontal <br> B: vertical <br> C: neither <br> D: cannot be determined
    11·1 answer
  • Estimate the derivative of f(x) = x^x at x=6
    10·1 answer
  • The graph below shows a line segment MN: Which of the following equations best represents the line segment MN?
    10·2 answers
  • an equation that is perpendicular to x-3y=3 and pases through the point (5,-9) in slope-intercept form
    12·1 answer
  • Help with the questions below!
    15·1 answer
  • Please please answer will give brainliest
    12·2 answers
  • 11 take away 2 times minus 7 plus 4
    13·1 answer
  • Triangle A B C is shown as the path of a ferry. Side A B is 3.5 miles long. The ferry turns 75 degrees to side B C. Side B C is
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!