ty sooooo much

another question (sorry about all these just trying to get this done and learn it before tom.)

Jennie calculated the probabilities of various events involving a coin. What is the probability of a coin landing on heads at least twice when the coin is flipped three times
a. 1/8
b. 1/6
c. 1/4
d. 1/2
*i think it is d and if it is i need work for it* *no matter what i need work*

np.

anyways, This is a pretty easy question to answer. The three possible (winning) outcomes are:

1. Heads, Heads, Tails.
2. Heads, Tails, Heads.
3. Tails, Heads, Heads.

If we look at the possible combination of other (losing) outcomes, we can easily determine the probability:

4. Heads, Heads, Heads.
5. Tails, Tails, Heads.
6. Tails, Heads, Tails.
7. Heads, Tails, Tails.
8. Tails, Tails, Tails.

This means that to throw heads twice in 3 flips, we have a 3 in 8 chance. This is because there are 3 winning possibilities out of a total of 8 winning and losing possibilities.

Good luck

Yes, it is D.

ok but that is not one of the answers and it can't be reduced

k ty i have 4 more *so sorry*

Carson wanted to make a cylindrical pillow for his mother's b-day the pillow was to be 15 inches long with a diameter of 6 inches and would be filled with stuffing.
determine how many cubic inches of stuffing carson will need to make the pillow
Before he started making the pillow Carson decided he wanted to make it bigger.
Compare the amount of stuffing needed when he doubles the length to the amount of stuffing needed when he doubles the diameter. Show work ot provide an explanation to support your comparison.

To find the probability of a coin landing on heads at least twice when it is flipped three times, we can use the concept of combinatorics and the probability of independent events.

To calculate the probability of an event happening at least twice, we need to consider two scenarios: when the event happens exactly twice and when it happens three times.

First, let's calculate the probability of the event happening exactly twice. Since there are three flips of the coin, it means that there are three possible positions for the two heads to occur: HHT, HTH, or THH (where H represents a head and T represents a tail).

The probability of each of these outcomes can be calculated as follows:
- HHT: The probability of getting heads on the first flip (1/2) multiplied by the probability of getting heads on the second flip (1/2) multiplied by the probability of getting tails on the third flip (1/2). So the probability of HHT is (1/2) * (1/2) * (1/2) = 1/8.
- HTH: The probability of getting heads on the first flip (1/2) multiplied by the probability of getting tails on the second flip (1/2) multiplied by the probability of getting heads on the third flip (1/2). So the probability of HTH is (1/2) * (1/2) * (1/2) = 1/8.
- THH: The probability of getting tails on the first flip (1/2) multiplied by the probability of getting heads on the second flip (1/2) multiplied by the probability of getting heads on the third flip (1/2). So the probability of THH is (1/2) * (1/2) * (1/2) = 1/8.

Therefore, the probability of the event happening exactly twice is 1/8 + 1/8 + 1/8 = 3/8.

Next, let's calculate the probability of the event happening three times, which means all flips result in heads. The probability of getting heads on each flip is 1/2. Since there are three flips, the probability of getting heads all three times is (1/2) * (1/2) * (1/2) = 1/8.

Finally, to find the overall probability, we add the probabilities of the event happening exactly twice and happening three times together: 3/8 + 1/8 = 4/8 = 1/2.

So based on this calculation, the correct answer is option d) 1/2.