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
Musya8 [376]
3 years ago
6

A television game show has 11 ​doors, of which the contestant must pick 3. Behind 3 of the doors are expensive​ cars, and behind

the other 8 doors are consolation prizes. The contestant gets to keep the items behind the 3 doors she selects. Determine the probability that the contestant wins at least one car.
Mathematics
1 answer:
bezimeni [28]3 years ago
6 0

For there to be 1 car, we consider two possible outcomes:

The first door opened has a car or the second door opened has a car.

P(1 car) = 2/6 x 4/5 + 4/6 x 2/5

P(1 car) = 8/15

For there to be no car in either door

P(no car) = 4/6 x 3/5

P(no car) = 2/5

Probability of at least one car is the sum of the probability of one car and probability of two cars:

P(2 cars) = 2/6 x 1/5

= 1/15

P(1 car) + P(2 cars) = 8/15 + 1/15

= 3/5

You might be interested in
Suppose point j is the midpoint of segment lm where j(5, -1) and m(0, 6). what are the coordinates of end point l?
zalisa [80]

If the midpoint of segment lm where j(5, -1) and m(0, 6), then the coordinates of end point l is (10,-8)..

Midpoint:

Midpoint of a line segment is the point that is halfway between the endpoints of the line segment.

The formula for the midpoint is,

(x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

where,

(x_m,y_m) = coordinates of the midpoint

(x₁, y₁)   = coordinates of the first point

(x₂, y₂) = coordinates of the second point

Given,

Midpoint = j = (5,-1)

Second point =  m = (0,6)

Now, we have to find the first midpoint l.

Let (x,y) be the coordinates of l.

Then apply the values on the formula,

Then we get,

(5,-1)=(\frac{x+0}{2},\frac{y+6}{2})

Compare the values in order to find the coordinates,

=> 5 = (x + 0) / 2

=> 5 x 2 = x + 0

=> 10 = x

Similarly,

=> -1 = (y + 6) / 2

=> -1 x 2 = y + 6

=> -2 = y + 6

=> -2 - 6 = y

=> y = -8

Therefore, the coordinates of l is (10,-8).

To know more about Midpoint here.

brainly.com/question/28224145

#SPJ4

3 0
1 year ago
Help please & thank you !!
SIZIF [17.4K]

I believe it would be D

3 0
3 years ago
Central City High's basketball team will be entering the playoffs at the end of their regular season. There will be 3 other team
11Alexandr11 [23.1K]

Answer:

99<x<315

Step-by-step explanation:

4 0
3 years ago
60% of 75<br> find the percent.<br><br> please help! :o
Vera_Pavlovna [14]

Answer:15


Step-by-step explanation:


6 0
3 years ago
Which of the following graphs represents the function f(x) = x2 + x − 6?
Darya [45]

The answer is: D


Step-by-step explanation:

Direction: Opens Up

Vertex: ( −1/2, −25/4)

Focus: (−1/2, −6)

Axis of Symmetry: x = -12

Directrix:    y = -132                        


3 0
3 years ago
Read 2 more answers
Other questions:
  • Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
    5·1 answer
  • What is the second term in the binomial expansion of (2r – 3s)12? –73,728r11s 73,728r11s 608,256r10s2 –608,256r10s2?
    5·2 answers
  • What is the length of a side of a cube with a volume of 729 m3?
    12·1 answer
  • What percent of 300 is 51?
    5·1 answer
  • Un dreptunghi si un patrat au acelasi perimetru.Stiind can dreptunghiul are lungimea de 10cm simlatimea de 6cm mai mice afla lat
    11·1 answer
  • Franklin picked 342 potatoes out of his garden this season and will store them in 6 baskets.
    9·1 answer
  • If f(x) =3x+10, find f(4) A.f(4)=17 B.f(4)=22 C.22 D.f(4)=17
    10·1 answer
  • I don't get it please help me
    8·1 answer
  • Suppose a coefficient matrix for a system has pivot columns. Is the system​ consistent? Why or why​ not? Choose the correct answ
    9·1 answer
  • the number of tadpoles in the pond triples each day. which graph best represents the relationship between time and the number bc
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!