Probability and Number Line Problems

The video tutorial covers four mathematical problems. Problem 80 involves solving an inequality with integers a, b, and c. Problem 81 calculates the runtime of a cartoon using its frame rate. Problem 82 determines the probability of selecting a white or blue chip from a box. Problem 83 involves finding the value of y on a number line with equal intervals. Each problem is analyzed using logical reasoning and mathematical calculations.

In the inequality problem, what is the main condition needed to determine if c - b is greater than b - c?

• b is negative and c is positive

• a is negative

• b is positive and c is negative

• a is positive

What is the frame rate used to calculate the runtime of the animated cartoon?

• 60 frames per second

• 24 frames per second

• 12 frames per second

• 30 frames per second

How long does it take to play the cartoon if it takes 6 times as long to play as to rewind, and both together take 14 minutes?

• 16 minutes

• 12 minutes

• 14 minutes

• 10 minutes

What is the probability of drawing a red chip from the box?

• 2/3

• 1/2

• 1/3

• 1/5

If the probability of drawing a red chip is 1/3, what is the probability of drawing a white or blue chip?

• 2/3

• 1/3

• 1/5

• 1/2

On the number line, if x is 3/7 of the distance to y, what is the value of y when x is 1/2?

• 3/2

• 7/6

• 1

• 5/6

What is the relationship between x and y on the number line?

• x is twice y

• x is 3/7 of y

• x is half of y

• x is equal to y

If y - x equals 2/3, what is the value of y?

• 3/2

• 5/6

• 7/6

• 1

What is the first step in solving the number line problem?

• Determine the value of x

• Calculate the midpoint

• Identify the distance between x and y

• Find the total length of the line

In the number line problem, what is the significance of the tick marks being equally spaced?

• It makes the calculation of y unnecessary

• It ensures x and y are integers

• It indicates the line is infinite

• It allows for a proportional relationship between x and y