Probability Problems with Marbles and Dice

The video tutorial explains the concept of probability as a fraction of what you want over what you have. It provides examples using marbles of different colors to calculate the probability of drawing a red marble, not drawing a green marble, and drawing either a green or yellow marble. Additionally, it covers the probability of rolling an even number or a number less than three on a six-sided die. The tutorial emphasizes understanding probability through practical examples and different methods of calculation.

What is the basic formula for calculating probability?

• The total number of possible outcomes minus the number of successful outcomes.

• The number of successful outcomes multiplied by the total number of possible outcomes.

• The total number of possible outcomes divided by the number of successful outcomes.

• The number of successful outcomes divided by the total number of possible outcomes.

If you have a bucket with 20 marbles, 5 of which are red, what is the probability of drawing a red marble?

• 1/2

• 1/3

• 1/5

• 1/4

How many red marbles are there in a bucket of 20 marbles if the probability of drawing a red marble is 1/4?

• 7

• 6

• 5

• 4

What is the probability of not drawing a green marble if there are 9 green marbles in a bucket of 20?

• 11/20

• 3/4

• 9/20

• 1/2

Which method can be used to calculate the probability of not drawing a green marble?

• Multiplying the probability of drawing a green marble by 2.

• Adding the probability of drawing a green marble to 1.

• Dividing the probability of drawing a green marble by 2.

• Subtracting the probability of drawing a green marble from 1.

If there are 9 green marbles and 6 yellow marbles in a bucket of 20, what is the probability of drawing a marble that is either green or yellow?

• 1/4

• 1/2

• 3/4

• 2/3

How many marbles are either green or yellow if there are 9 green and 6 yellow marbles in a bucket of 20?

• 15

• 14

• 13

• 12

What is the probability of rolling an even number on a six-sided die?

• 2/3

• 1/2

• 1/6

• 1/3

Which numbers on a six-sided die are considered even?

• 1, 3, 5

• 2, 4, 6

• 1, 2, 3

• 3, 4, 5

What is the probability of rolling a seven on a six-sided die?

• 1/6

• 0

• 1/2

• 1/3