Probability and Counting Principles

The video tutorial covers various probability concepts, starting with basic probability using color counters. It then moves on to organizing data using two-way tables and Venn diagrams, and concludes with a detailed explanation of probability trees, including examples and calculations.

What is the probability of picking a red counter if the probability of picking a white or black counter is 0.15 each?

• 0.2

• 0.3

• 0.15

• 0.7

If there are 60 counters in a bag and the probability of picking a white counter is 0.15, how many white counters are there?

• 12

• 9

• 15

• 6

In a group of 100 students, 42 are boys and 8 wear glasses. How many boys wear glasses if 52 girls do not wear glasses?

• 6

• 4

• 2

• 8

Which number is both a prime and an even number in the set 1 to 15?

• 7

• 3

• 2

• 5

What is the probability that Amy wins exactly one game of snooker if she plays two games and the probability of winning each game is 0.2?

• 0.32

• 0.04

• 0.16

• 0.64

If James's bus is late to school with a probability of 0.3 and late going home with a probability of 0.7, what is the probability that at least one bus is late?

• 0.21

• 0.79

• 0.49

• 0.91

What is the probability of drawing two red counters in a row from a bag with 4 red and 5 blue counters, without replacement?

• 5/9

• 1/9

• 2/9

• 4/9

How many different ways can Emma select one sphere and one cube, one red shape, and one blue shape from a bag of shapes?

• 150

• 96

• 131

• 200

In a survey of 82 students, how many like apples and oranges but not bananas if 39 like apples, 50 like bananas, and 39 like oranges?

• 5

• 7

• 9

• 11

What is the probability of drawing two pens of the same color from a box with 5 red, 3 blue, and 2 green pens?

• 34/90

• 30/90

• 28/90

• 32/90