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irina [24]
3 years ago
9

Suppose you choose a marble from a bag containing 3 red marbles, 5 white marbles, and 4 blue marbles. You return the first marbl

e to the bag and then choose again. Find P(red and blue)
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0

Answer:

P(red and blue) = 0.1667

Step-by-step explanation:

Let A represent choosing a red marble, there are 3 red marbles

Let B represent choosing a blue marble, there are 4 blue marbles

There are 12 total marbles

Then...

P(A) = 3/12

P(B) = 4/12

choosing the first one, then replacing means the first choice has no effect on the probabilities of the second choice, so the situation is independent.  

When calculating the probability of independent events, you multiply the probabilities together.  There are 2 scenarios where we can get a red and blue marble..

Choosing a red, then a blue marble, the probability is

(3/12)( 4/12) = 12/144 = 1/12

Choosing a blue, then a red marble, the probability is

(4/12)(3/12) = 12/144 = 1/12

So we have a

(1/12) + (1/12) = 2/12 = 1/6 chance for that to happen, to

P(A and B) = 1/6 = 0.1667

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Darina [25.2K]

The right answer is -2/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

6 0
3 years ago
Read 2 more answers
A museum sold 95 tickets for $1,025. Each adult ticket was $15, and each child ticket was $7. Let a represent the number of adul
Genrish500 [490]

Answer:

a + c = 95........eq1

15a + 7c = 1,025....eq2

Step-by-step explanation:

Given:

Total number of ticket sold = 95

Total amount collected = $1,025

Price of each adult ticket = $15

Price of each child ticket = $7

Computation:

Number of adult tickets sold = a

Number of child tickets sold = c

So,

Number of adult tickets sold + Number of child tickets sold = Total number of ticket sold

a + c = 95........eq1

and

15a + 7c = 1,025....eq2

4 0
3 years ago
the point P = (x, 1/2) lies on the unit curcle shown below. what is the value of x in the simplest form
Mrac [35]

Answer:

x=sqrt(3)/2 or -sqrt(3)/2

Step-by-step explanation:

(x,1/2) is on the unit circle at pi/6 and 5pi/6.

so x is either sqrt(3)/2 or -sqrt(3)/2

5 0
3 years ago
Algebra 1 IMPORTANT
babymother [125]

Answer:

A

Step-by-step explanation:

Subtract 1.6 from the height each hour and it shows that the answers match the height each hour.

5 0
3 years ago
EASY MATH QUESTION! WILL GIVE BRAINLIEST! (MUST EXPLAIN HOW YOU GOT YOUR ANSWER!) By the end of the first quarter of a football
castortr0y [4]

Answer:

+73 yards.

Step-by-step explanation:

Since we have the first two quarters, we can simply work out the yardage for each game and add them together to get the total.

42-9 = 33 (first game)

58-18 = 40 (second game)

Therefore his total yardage was +73.

6 0
3 years ago
Read 2 more answers
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