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melamori03 [73]
1 year ago
7

There are 26 prize tickets in a bowl, labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen, n

ot replaced, and then another prize ticket with a vowel will be chosen? Does this represent an independent or dependent event? Explain.
Mathematics
1 answer:
AfilCa [17]1 year ago
7 0

The probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen is 0.031 or 3.1%. The events are dependent events.

Given that there are five vowels, which come from the letters A, E, I, O, and U, the likelihood of drawing a vowel is:

5/26

since there are a total of 26 alternatives available. After choosing that, we are left with 25 alternatives, 4 of which are vowels, thus the probability is:

4/25

The final likelihood is thus:

5/26 * (4/25) = 0.031

In other words, the likelihood is 3.1% when choosing a vowel and then another (without replacement).

The first event has an impact on the second event since there are fewer vowels and overall possibilities, hence the events are dependent.

Learn more about probability here :

brainly.com/question/16812448

#SPJ1

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Cooper earned $660 as a furniture salesman this month. His earns a
Grace [21]
Ya got to go $660 + 7% hours later on $450 hours later 00.578 to finish
5 0
3 years ago
Wal-Mart is selling 12 highligters for $5.47. What is the unit price of the highlighters? (round the price to the nearest hundre
BaLLatris [955]

To be able to quickly solve this, we can temporarily make 5.47 into 547

Now, we can divide 547 by 12.

547 / 12 = 45.5

Now, we can round up from 45.5 to get 46.

However, we originally moved our decimal 2 places over, so now we must move it 2 places again.

46 ⇒ 0.46

The correct answer is $0.46

4 0
3 years ago
Lucia flips a coin three times. What is the probability she gets (Head, tail, Head) in that order?
Svetach [21]

Answer: \dfrac{1}{8}

Step-by-step explanation:

The total outcomes of tossing a coin = 2

The total number of possible outcomes of flipping coin three times =2 x 2 x 2 = 8

Favorable outcome= (Head, tail, Head) in order

i.e. Number of Favorable outcomes = 1

We know that , Probability = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

Therefore , The required probability =\dfrac{1}{8}

Hence , the probability she gets (Head, tail, Head) in that order=\dfrac{1}{8}

8 0
3 years ago
Please help!!! i need to show work too!!!
Verizon [17]

Answer:

1. 7/10, 2. 25, 3. 1/4 4. 4. 3/5, 5. A

Step-by-step explanation:

1.  Make a fraction with the total number of cards at the bottom (60) and all the cards that are not green (aka yellow and blue) on top (42). Then simplify the fraction 42/60 by dividing both terms by 6 to get 7/10

2. For this one, first find how many students out of the first 80 liked basketball by subtracting the 60 students who liked other sports from 80. This gives you 20. Now you know that 20/80 students like basketball. Now simplify the fraction to get 1/4. Then find 1/4 of 100, because we know that 1/4 of students like basketball. 1/4 of 100 is 25.

3. This problem is exactly the same as number 1, except instead of adding all the other colors and putting them as a fraction over the total, just put the number of pink shirts over the total number of shirts to get 3/12. Then simplify it to 1/4, and that's your answer.

4. This is also similar to problems 1 and 3. Just put the number of heads coin tosses over the total and simplify it.

5. This one is very similar to all the problems so far. I will let you do this one on your own. Remember: The number of cases (rolls or colors or sports or cards etc.) that you want to find the probability for goes on top, and the total number of those things goes on the bottom. The bigger the fraction, the greater probability there is.

Note: Please only ask one question at a time on here instead of 5 at once. Since these problems are so similar, chances are, you could have figured them out on your own with a little help on one of them. You are more likely to get a quick answer if the answerer doesn't have to do as much work.

4 0
2 years ago
(Score for Question 1:
Lunna [17]

Answer:

that is the way of calculating by using synthetic division

7 0
2 years ago
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