22.01.2021

There is a giant spinning wheel at a carnival. The wheel is numbered 1 to 12. Each section is the same size.

The wheel is spun, and, if it stops on your number, you win a prize.

Molly has numbers 2, 5 and 11.

What is the probability that she wins a prize?

. 42

Step-by-step answer

17.02.2022, solved by verified expert
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5 students found this answer . helpful

The probability that Molly wins a prize = There is a giant spinning wheel at a carnival., №15222411, 22.01.2021 01:26

Step-by-step explanation:

Step 1 :

No.  of wheels of in the giant spinning wheel = 12

Since each section is of the same size , the probability of the wheel stopping on any number is the same.

Numbers which Molly has = 2,5,11

The probability of the wheel stopping at either 2,5 or 11 is the same

Step 2:

Total number of favorable outcomes = Number of the numbers Molly has = 3 [2,5,11]

Total sample space = 12 (because the wheels are numbered from 1 to 12)

Hence the probability the wheel stops at the numbers molly has = Number of favorable outcomes ÷ the total numbers in the sample space

= There is a giant spinning wheel at a carnival., №15222411, 22.01.2021 01:26 = There is a giant spinning wheel at a carnival., №15222411, 22.01.2021 01:26

Step 3 :

Answer :

The probability that Molly wins a prize = There is a giant spinning wheel at a carnival., №15222411, 22.01.2021 01:26

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5 students found this answer . helpful

The probability that Molly wins in 1/4

Step-by-step explanation:

number of marked numbers in the spinning wheel =12

therefore the sample space has 12 entries

n(S)=12

She wins when 2,5 or 11 appears on the wheel.

E={2,5,11}

n(E)=3

P(winning)=n(E)/n(S)=3/12=1/4

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Faq

StudenGPT
Step-by-step answer
P Answered by Studen AI
The task is about calculating the probability. Let's evaluate it step by step.

Step 1:
First, let's identify what we know:

- The total number of outcomes (The wheel is numbered 1 to 12.): 12 outcomes
- Molly's successful outcomes (Molly has numbers 2, 5, and 11.): 3 outcomes

Probability is given by the ratio of favorable outcomes to the total number of possible outcomes.

Step 2: Apply the Probability Formula

Probability (P) = Number of favorable outcomes / Total number of outcomes.

Molly's favorable outcomes are landing on numbers 2, 5, or 11, which amounts to 3 outcomes in total.
The total outcomes are numbers 1 through 12 on the wheel, which amounts to 12 possible outcomes.

So we substitute these into the formula:

P (Molly wins) = 3 (favorable outcomes) / 12 (total outcomes)

Step 3: Simplify the Fraction

To simplify the fraction, we need to reduce it to its lowest terms. We find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 3 and 12 is 3.

We divide both the numerator and the denominator by the GCD to get:

P (Molly wins) = 3/3 (favorable outcomes) / 12/3 (total outcomes)

Which simplifies to:

P (Molly wins) = 1/4

Verification Step:

With 1/4 chance, this means that, theoretically, Molly would win 1 time out of every 4 spins. Since she has three favorable numbers out of twelve possible outcomes, this answer confirms our intuition and seems reasonable.

So, the probability of Molly winning the prize is 1 in 4 or 1/4.
Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

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