Mastering Adding and Subtracting Rational Expressions

This video tutorial covers the concepts of compound probability, focusing on independent and dependent events. It explains how to calculate probabilities for multiple events, using examples like rolling dice, drawing cards, and selecting marbles. The tutorial also includes exercises for viewers to practice calculating probabilities in different scenarios, emphasizing the difference between independent and dependent events.

If a spinner lands on a number less than 7 and a letter 'B' is chosen from 'BINGO', what is the reduced probability?

• 1/5

• 3/25

• 6/50

• 1/25

What is the probability of rolling a die and getting a number greater than four?

• 1/3

• 3/6

• 1/6

• 2/6

If a card is drawn from a deck twice with replacement, what is the probability of drawing a diamond both times?

• 1/4

• 1/16

• 1/2

• 1/52

What is the probability of flipping a coin four times and getting heads each time?

• 1/2

• 1/8

• 1/16

• 1/4

In a class of 25 students, if a boy is chosen at random, what is the probability of choosing a boy from another class of 24 students?

• 11/40

• 15/24

• 11/25

• 15/25

What is the probability of guessing a four-digit code where each digit is greater than five?

• 1/256

• 1/10000

• 1/625

• 16/625

What is the probability of drawing a red marble and then a blue marble from a bag without replacement?

• 24/600

• 1/25

• 8/25

• 3/24

After removing a green marble, what is the probability of then drawing a yellow marble from the same bag?

• 1/15

• 40/600

• 4/24

• 10/25

What is the probability that two runners, chosen at random, both trained for the race but did not achieve a personal best?

• 13.62%

• 28/75

• 27/74

• 126/925

If one runner had a personal best and another neither trained nor had a personal best, what is the probability of this occurrence?

• 9.91%

• 22/75 and 25/74

• 14/75 and 25/74

• 18/75 and 25/74