Probability Problems and Solutions

This video tutorial covers the basics of probability, including theoretical probability, and provides examples using spinners, cards, dice, roulette wheels, marbles, and student grades. It explains how to calculate probabilities as fractions, decimals, and percentages, and introduces the concept of the complement of an event. The tutorial also demonstrates the use of Venn diagrams to solve probability problems.

What is the probability of an event occurring if there are 3 favorable outcomes out of 12 possible outcomes?

• 0.25

• 0.5

• 0.75

• 0.33

If a spinner has 12 numbers, what is the probability of landing on an even number?

• 1/4

• 1/3

• 1/6

• 1/2

In a standard deck of 52 cards, what is the probability of drawing a heart?

• 1/2

• 1/3

• 1/4

• 1/13

What is the probability of rolling a 5 on a fair six-sided die?

• 1/4

• 1/6

• 1/3

• 1/2

On an American roulette wheel with 38 slots, what is the probability of the ball landing on a black slot?

• 18/38

• 1/2

• 1/38

• 9/19

If a jar contains 6 red, 10 blue, and 8 black marbles, what is the probability of drawing a blue marble?

• 1/3

• 1/2

• 5/12

• 10/24

In a class of 76 students, if 31 are male, what is the probability of randomly selecting a female?

• 31/76

• 45/76

• 1/2

• 3/4

What is the probability of selecting a student who did not get an 'A' if 20 students got an 'A' out of 76?

• 56/76

• 1/4

• 14/19

• 3/4

If the probability of rain is 25/96, what is the probability of no rain?

• 25/96

• 1/2

• 3/4

• 71/96

In a Venn diagram with 73 students, what is the probability of selecting a student who competed in all three dance categories?

• 1/3

• 0.164

• 12/73

• 16.4%