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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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rewona [7]

9514 1404 393

Answer:

  (b)  Symmetric property of congruence

Step-by-step explanation:

a) The transitive property says if a=b and b=c then a=c

b) The symmetric property says if a=b then b=a

c) The substitution property says if a=b and a=c then b=c

d) The reflexive property says a=a

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The property of congruence of interest here is the <em>symmetric property</em>.

5 0
3 years ago
Evaluate the expression if m = 3.<br><br> 3m^2<br><br><br> (SHOW YOUR WORK)
iragen [17]

The value of given expression when m = 3 is 27

<h3><u>Solution:</u></h3>

Given expression is 3m^2

We have to evaluate the given expression for m = 3

To find for m is equal to 3, substitute m = 3 in given expression

From given expression,

\rightarrow 3m^2

Plug in m = 3 in above expression

\rightarrow 3(3)^2 ------ eqn 1

We know that,

a^2 can be expanded as,

a^2=a \times a

Applying this in eqn 1, we get

\rightarrow 3(3)^2=3 \times (3 \times 3)

Simplify the above expression

\rightarrow 3(3)^2=3 \times (3 \times 3) = 3 \times 9 = 27

Therefore, for m = 3 we get,

\rightarrow 3(3)^2=27

Thus value of given expression when m = 3 is found

5 0
3 years ago
A) x³y²if x = 2 and y = 4
kow [346]

Answer:

128

Step-by-step explanation:

x³y²if x = 2 and y = 4

x³*y²

(2)^{3} * (4)^{2}

(2*2*2)*(4*4)

(8)*(16)

128

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1 year ago
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Answer:

e and c

Step-by-step explanation:

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Answer:

a

Step-by-step explanation:

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