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Charra [1.4K]
3 years ago
15

At a party, there are 2 six-packs of regular cola, 1 six-pack of diet cola, 1 six-pack of cherry cola, and 1 six-pack of vanilla

cola. If a can of cola is chosen at random, what is the probability it will be a cherry cola or a vanilla cola?
A. 1/5 B. 2/5 C. 1/4 D. 1/2 Please select the best answer from the choices provided


A B C D
Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

Answer:

B.

Step-by-step explanation:

There are 5 total 6-packs of cola. 1 is cherry and the other is vanilla. 2 out of 5 are the flavors. This means you have a 2 in 5 chance of getting a cherry or vanilla cola.

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The Venn diagram shows the results of two events resulting from rolling a number cube.
gulaghasi [49]

Answer:   P(A\cap B)=\frac{1}{3}

P(A)=\frac{1}{3}

P(B)=1

P(A|B)=\frac{1}{3}

Step-by-step explanation:

From the given figure it can be seen that

Total number on cube= n(S)=6

Intersection of A and B = n(A ∩ B)= 2

Therefore,

P(A\cap B)=\frac{n(A\cap B)}{n(s)}=\frac{2}{6}=\frac{1}{3}

Also, The number of elements in A = 2

Therefore,

P(A)=\frac{n(A)}{n(s)}=\frac{2}{6}=\frac{1}{3}

Similarly, The number of elements in B= 6

Therefore,

P(B)=\frac{n(B)}{n(s)}=\frac{6}{6}=1

The formula to find the conditional probability is given by :-

P(A|B)=\frac{P(A\cap B)}{P(B)}\\\\\Rightarrow P(A|B)=\frac{\frac{1}{3}}{1}=\frac{1}{3}

4 0
3 years ago
Read 2 more answers
HELP ASAP ILL GIVE You 5 stars<br> What is the solution to this inequality?<br> 7x + 25&lt;=11
JulsSmile [24]

Answer:

Step-by-step explanation:

smplifying

7x + 11 = 25

Reorder the terms:

11 + 7x = 25

Solving

11 + 7x = 25

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.

11 + -11 + 7x = 25 + -11

Combine like terms: 11 + -11 = 0

0 + 7x = 25 + -11

7x = 25 + -11

Combine like terms: 25 + -11 = 14

7x = 14

Divide each side by '7'.

x = 2

Simplifying

x = 2

3 0
3 years ago
Read 2 more answers
Which of the following statements are true about the diagram ? Please choose correct answers !!!!! Will mark Brianliest !!!!!!!!
Luden [163]

Answer:

It's none of the above

Step-by-step explanation:

GK is //

Both G & K are most definitely not the midpoints

G not the vertex of the right angle

5 0
2 years ago
Students are doing an experiment: that two fair dice are tossed, and all the outcomes are recorded.Then,an event is described as
Marysya12 [62]

Answer:

1.The random variable X can take any value from( 2,- ----,12) in the event of the sample space.

2.The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3),  (2, 2),(3, 1),  (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6),  (2, 5),(3, 4),(4, 3),(5, 2), (6, 1),   (2, 6),(3, 5),   (4, 4), (5, 3), (6, 2),(3, 6), (4, 5),  (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6),  (6,5),(6,6)]

3. The probability of getting a 4 =   1/12

4. The probability of getting a 12 = 1/36

Step-by-step explanation:

There are 36 outcomes in all and the event shows the possible numbers obtained after the sum .

The event will be E= [ 2,3,4,5,6,7,8,9,10,11,12]

The random variable X can take any value from( 2,- ----,12) in the event of the sample space.

The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3),  (2, 2),(3, 1),  (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6),  (2, 5),(3, 4),(4, 3),(5, 2), (6, 1),   (2, 6),(3, 5),   (4, 4), (5, 3), (6, 2),(3, 6), (4, 5),  (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6),  (6,5),(6,6)]

that is it has all the possible outcomes of both the dice.

The probability of getting a 4= Number of fav outcome/ no of possible outcomes=  3/ 36= 1/12

The probability of getting a 12= Number of fav outcome/ no of possible outcomes=1/36

6 0
2 years ago
Express the given logarithmic expression as a single logarithm.
Ganezh [65]
Using the laws of logarithms, we get:5\ ln(x)+2\ ln(y)=ln(x)^{5}+ln(y)^{2}=ln( x^{5}y^{2})
The answer is a.
3 0
3 years ago
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