A bag contains 6 red marbles, 3 white marbles, and 7 blue marbles. You pick a marble without looking. Find the probability of drawing a white marble.
There are a total of 16 marbles in the bag. The probability of drawing a white marble is the number of white marbles divided by the total number of marbles:
P(white marble) = 3/16
Therefore, the probability of drawing a white marble is 3/16.
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.
There are six possible 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 identify the outcomes that satisfy this condition. There are two outcomes - rolling a 1 or rolling a 2 - that are less than 3. Therefore, the probability of rolling a number less than 3 is:
P(rolling a number less than 3) = 2/6 = 1/3
To find the probability of not rolling a number less than 3, we need to identify the outcomes that do not satisfy this condition. There are four outcomes - rolling a 3, 4, 5, or 6 - that do not satisfy this condition. Therefore, the probability of not rolling a number less than 3 is:
P(not rolling a number less than 3) = 4/6 = 2/3
A number cube is rolled 360 times and the results are recorded as follows: 54 ones, 60 twos, 66 threes, 71 fours, 35 fives, and 74 sixes. What is the experimental probability of rolling a two or a three?
The total number of rolls is:
54 + 60 + 66 + 71 + 35 + 74 = 360
The number of rolls that resulted in a two or a three is:
60 + 66 = 126
Therefore, the experimental probability of rolling a two or a three is:
126/360 = 0.35 (rounded to two decimal places)
So the experimental probability of rolling a two or a three is 0.35 or 35%.
From a barrel of colored marbles, you randomly select 3 blue, 2 yellow, 7 red, 8 green, and 2 purple marbles. Find the experimental probability of randomly selecting either a green or a purple marble.
The total number of marbles is:
3 + 2 + 7 + 8 + 2 = 22
The number of green and purple marbles is:
8 + 2 = 10
Therefore, the experimental probability of randomly selecting either a green or a purple marble is:
10/22 = 5/11 (which is approximately 0.45 when rounded to two decimal places)
So the experimental probability of randomly selecting either a green or a purple marble is 5/11 or approximately 0.45.
A standard number cube is rolled 180 times. Predict how many times a 3 or a 5 will be the result.
The probability of rolling a 3 or a 5 on a standard number cube is 2/6 or 1/3. This means that out of 180 rolls, we can expect:
180 * 1/3 = 60
So we would predict that 3 or 5 would be rolled about 60 times out of 180 rolls.