(1 point)

1. There are 35 marbles in a bag: 9 blue marbles, 8 green marbles, 4 red marbles, 8 white marbles, and 6 yellow marbles. Find P(red). Write the probability as a fraction in simplest form, a decimal, and a percent.
0.129, 12.9% 0.114, 11.4% 0.143, 14.3% 0.086, 8.6% 31 35 2 3 35

P(red) = 4/35 or 0.114 or 11.4%

a bag contains 6 red marbles, 3 white marbles, and 7 blue marbles you pick without looking find the probability of drawing a white marble

There are a total of 6 + 3 + 7 = 16 marbles in the bag.

The probability of drawing a white marble is:

P(white) = 3/16

So the probability of drawing a white marble is 3/16 or approximately 0.188 or 18.8%.

a standard number cube is rolled 180 times predict how many times a 3 or a 5 will be the result

There are 6 equally likely outcomes when rolling a standard number cube: 1, 2, 3, 4, 5, or 6.

Since the probability of rolling a 3 or 5 is 2/6 or 1/3, we can expect that out of 180 rolls, the number of times we get a 3 or 5 would be:

(1/3) * 180 = 60

Therefore, we can predict that a 3 or a 5 will be the result around 60 times in 180 rolls of a standard number cube.

a standard number cube with the numbers 1 through 6 is rolled find the probability of rolling a number less then 3 find the probability of not rolling a number less then3.

There are 6 equally likely outcomes when rolling a standard number cube: 1, 2, 3, 4, 5, or 6.

To find the probability of rolling a number less than 3, we need to count how many outcomes satisfy this condition. There are 2 outcomes that do: 1 and 2. So the probability of rolling a number less than 3 is:

P(number less than 3) = 2/6 = 1/3

To find the probability of not rolling a number less than 3, we need to count how many outcomes do not satisfy this condition. There are 4 outcomes that do not: 3, 4, 5, and 6. So the probability of not rolling a number less than 3 is:

P(not rolling a number less than 3) = 4/6 = 2/3

if no digit may be used more than once how many 5-digit number can be formed using only the digits 3,1,2,5, and 7?

There are 5 choices for the first digit, since any of the 5 digits can be used.

There are 4 choices left for the second digit, since we can't use the digit we used in the first position.

There are 3 choices left for the third digit, since we can't use either of the digits we used in the first two positions.

There are 2 choices left for the fourth digit, since we can't use any of the digits we used in the first three positions.

Finally, there is 1 choice left for the fifth digit, since we can't use any of the digits we used in the first four positions.

So the total number of 5-digit numbers that can be formed using only the digits 3, 1, 2, 5, and 7, with no digit used more than once, is:

5 x 4 x 3 x 2 x 1 = 120

Therefore, there are 120 possible 5-digit numbers that can be formed using only the digits 3, 1, 2, 5, and 7, with no digit used more than once.

To find the probability of drawing a red marble from the bag, we need to determine the number of red marbles and the total number of marbles in the bag.

Given that there are 4 red marbles and 35 marbles in total, we can calculate the probability as follows:

P(red) = Number of red marbles / Total number of marbles

P(red) = 4 / 35

Now, let's express this probability as a fraction in simplest form:

P(red) = 4/35

To express it as a decimal, divide the numerator (4) by the denominator (35):

P(red) ≈ 0.114

To express it as a percentage, multiply the decimal by 100:

P(red) ≈ 11.4%

The correct answer is thus:

0.114, 11.4%