Philip rolls a standard number cube 24 times. Which is the best prediction for the number of times he will roll a number that is even and less than 4?

Is it 4 times?

Ryan flips a coin 8 times and gets tails all 8 times. What is the experimental probability that Ryan will get heads the next time he flips the coin?

is it 1/2 probability?

There are 20 tennis balls in a bag. Five are orange, 7 are white, 2 are yellow, and 6 are green. You choose one at random. Which color ball are you least likely to choose?

Less likely to choose yellow ball

A bag contains 22 red marbles, 28 green marbles, and 16 blue marbles. You choose a marble at random from the bag. What color marble will you most likely choose?

Most likely to choose green marble

Philip rolls a standard number cube 24 times. Which is the best prediction for the number of times he will roll a number that is even and less than 4?

What is the answer?

To determine the best prediction for the number of times Philip will roll a number that is even and less than 4, we need to find the probability of rolling such a number and multiply it by the total number of rolls.

There are three even numbers less than 4 on a standard number cube: 2, 4, and 6. However, since we are only interested in numbers less than 4, we can only consider the number 2.

The probability of rolling a 2 is 1/6 since there are six possible outcomes (numbers 1 to 6) and only one favorable outcome (rolling a 2).

So, to find the best prediction, we multiply 1/6 by the total number of rolls, which is 24:

(1/6) * 24 = 4

Therefore, the best prediction is that Philip will roll a number that is even and less than 4 four times.

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The experimental probability is found by taking the number of successful outcomes (in this case, getting heads) divided by the total number of trials.

Since Ryan flips a coin 8 times and gets tails all 8 times, the number of successful outcomes (getting heads) is 0.

The total number of trials is 8.

So, the experimental probability of Ryan getting heads on the next flip is 0/8, which simplifies to 0.

Therefore, the experimental probability is 0, meaning it is not likely that Ryan will get heads on the next coin flip.

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To determine which color ball you are least likely to choose, we need to compare the number of balls of each color and consider the probability of choosing each color.

There are 5 orange balls, 7 white balls, 2 yellow balls, and 6 green balls.

To find the probability of choosing a certain color, we divide the number of balls of that color by the total number of balls, which is 20 in this case.

The probabilities are as follows:
- Orange: 5/20 = 1/4
- White: 7/20
- Yellow: 2/20 = 1/10
- Green: 6/20 = 3/10

The least likely color to choose is the one with the lowest probability. In this case, the yellow ball has the lowest probability of 1/10.

Therefore, you are least likely to choose the yellow ball.

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To determine which color marble you are most likely to choose, we need to compare the number of marbles of each color and consider the probability of choosing each color.

There are 22 red marbles, 28 green marbles, and 16 blue marbles.

To find the probability of choosing a certain color, we divide the number of marbles of that color by the total number of marbles, which is 66 in this case (22 + 28 + 16).

The probabilities are as follows:
- Red: 22/66 = 1/3
- Green: 28/66 = 14/33
- Blue: 16/66 = 8/33

The highest probability corresponds to the color with the highest probability value. In this case, the green marbles have the highest probability of 14/33.

Therefore, you are most likely to choose a green marble.

Yes. Your answers are right.

Thank you so much!! Appreciate it

You're very welcome.

Ryan flips a coin 8 times and gets tails all 8 times. What is the experimental probability that Ryan will get heads the next time he flips the coin