PLEASE HELP!!!! A bag contains 1 white (W), 3 blue (B1, B2, B3), and 2 red (R1, R2) marbles. (4 points)
a. Use a tree diagram to list all the possible outcomes for tossing a coin and then drawing a marble from the bag.
b. Are these independent or dependent events?
c. Find the probability of tossing a head and drawing a red marble. Explain your reasoning.
d. Find the probability of drawing two blue marbles if the first marble is not replaced. Explain your reasoning.

Answers

Answer 1

The answers are as follows:

a. There are 6 ways of tossing a coin and then drawing a marble from the bag. (Tree diagram is shown in the diagram below) The probability is 1/12.

b. These are independent events since tossing a coin does not affect the drawing of marble from the bag.

c. From the tree diagram, the probability of tossing a head and drawing a red marble is 1/6(since they are independent events).

d. The probability of drawing two blue marbles if the first marble is not replaced is 1/5(since they are dependent events).

What are compound events in probability?Two or more events that occur simultaneously or one after the other are said to be compound events. They are calculated by multiplying the probability of the first event by the probability of the second event.

Calculation:

It is given that a bag contains,

Number of white marbles(W) = 1

Number of Blue marbles (B) = 3

Number of Red marbles (R) = 2

Thus, there are 6 marbles in the bag. So, the sample space for drawing a marble = 6

a. Finding all the possible outcomes using a tree diagram:

The possible outcomes from the tree diagram are

(H, W), (H, B), (H, R), (T, W), (T, B), and (T, R)

The probability of tossing head or tail = 1/2

The probability of drawing a marble from the bag = 1/6

So, the compound probability = (1/2)(1/6) = (1/12)

The sample space for this is 12.

b. Independent or dependent events:

These are independent events since the tossing of a coin does not affect the drawing of marble from the bag.

c. Finding the probability of tossing a head and drawing a red marble:

The probability of tossing a head = 1/2

The probability of drawing a red marble = 2/6 = 1/2

Since they are independent events,

The required probability = (1/2)(1/2) = 1/4

d. Finding the probability of drawing two blue marbles if the first marble is not replaced:

The probability of drawing a blue marble from the bag(1st attempt) = 3/6

The probability of drawing another blue marble from the bag (2nd attempt) = 2/5 (From the leftover marbles after the first attempt)

Since they are dependent events, the probability of the 2nd event is calculated only after the first event is calculated.

So, the required probability = (3/6)(2/5) = 1/5

Thus, all the probabilities are calculated.

Learn more about compound probabilities here:

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PLEASE HELP!!!! A Bag Contains 1 White (W), 3 Blue (B1, B2, B3), And 2 Red (R1, R2) Marbles. (4 Points)a.

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Your Streak is on! Answer another question tomorrow and keep it going.

Step-by-step explanation:

Pencils come in packages of 10 . Erasers come in package of 12 . Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil . How many packages of pencils and erasers should Phillip buy ?

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Answer: 60

Step-by-step explanation:

From the question, we are informed that pencils come in packages of 10 while erasers come in package of 12 .

We are further told that Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil, this simply means that we have to calculate the lowest common multiple for 10 and 12.

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

18:12 (accurate)

3:2 (simplified)

Step-by-step explanation:

The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:

30 - 18 = 12

The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:

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18:12 is the ratio.

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(18)/6 : (12)/6

3:2

3:2 is your simplified ratio.

math work pls help :)

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the the answer is SAS

side angle side

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Step-by-step explanation:

Each is 8x? So 8x1, 8x2 so on, then you get 48!

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Answers

30 miles/60 minutes = 50 miles/ x minutes
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The time of 1 hour 40 minutes Bert takes for him to travel 50 miles.

What is the distance?

Distance is defined as the product of speed and time.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that Bert is driving along a country road at a constant speed of 30 miles per hour

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Let the time of x minutes it takes for him to travel 50 miles.

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⇒ 3000 = 30x.

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Answer:

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-20 -18 -6 -4 2 4 this is the answer

[-20, -18 , -6 , -4 , 2 , 4 ]

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Answers

Answer:

64 miles

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Answer:

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Step-by-step explanation:

And can you please explain what does
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Answers

This is how a triangle is equal to one another, SAS is side angle side, AA is angle angle, ASA is angle side angle, and SSS is side side side, yours looks like AA but I might be wrong. I believe it is AA, so if you have no clue just go with AA

Answer:

sas means side angle side

aa means angle angle

asa means angle side angle

sss means side side side

hope it helps you

please mark me as brainlist

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Answer:

Step-by-step explanation:

1 m/s square

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Answers

Answer:

X= 8 and X=-8

Step-by-step explanation:

x^2-64

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0=x-8

x=8

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Answers

Answer:

Step-by-step explanation:

First, we must write the mathematical form for "the product of 8 and a number x":

Then "6 more than this" would be:

(

)

So, to evaluate for

we substitute

for

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→

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What grade are you in? Lord

Select all the expressions equivalent to:
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a
5(4a + 2b)
b
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C С
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2(10a + 5b)
Od
Оe
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Answers

Answer:

5(4a + 2b)

10(2a + b)

2(10a + 5b)

Step-by-step explanation:

we are trying to find equations equivalent to (20a + 10b), so distribute

5(4a + 2b) = 20a +10b YES

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2(10a +5) = 20a + 10 NO

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Answers

Answer:

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Step-by-step explanation:

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Answer:

6(x+3) or 6x +18

Step-by-step explanation:

add 3

x+3

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6(x+3)

simplify

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please talk me my answer is correct or not

Answer:

8 inches squared

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4 3/4 of a cube + 4 1/4 of a cube + 4 whole cubes

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Answers

Answer:

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Step-by-step explanation:

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If x is 6, y is 9

Step-by-step explanation:

In your equation, substitute 6 in for each x. This would be (6) + 3y = 4(6) + y.

This ends up being 6 + 3y = 24 + y.

After that, you can subtract y from both sides to get 6 + 2y = 24.

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i think this is right

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2 2
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Answers

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