Drawing Tree Diagrams in Probability

The video tutorial covers the use of tree diagrams to solve probability problems. It includes two examples: a coin toss and a card draw. The first example demonstrates how to calculate the probability of getting three heads and at least two tails when a coin is tossed three times. The second example involves drawing cards labeled four, five, and six to form a three-digit number, calculating the probability of forming an even number and a number less than 500.

After the first coin toss, how many possible outcomes are there for the second toss?

• 4

• 1

• 2

• 3

How many possible outcomes are there when a coin is tossed three times?

• 12

• 10

• 8

• 6

In the coin toss scenario, how many outcomes result in at least one head?

• 8

• 5

• 6

• 7

What is the probability of getting exactly three heads when tossing a coin three times?

• 3/8

• 1/2

• 1/8

• 1/4

What is the probability of getting at least two tails when tossing a coin three times?

• 1/2

• 1/4

• 1/8

• 3/4

How many different three-digit numbers can be formed by drawing cards labeled 4, 5, and 6?

• 3

• 6

• 9

• 12

If the first card drawn is a 4, what are the possible cards that can be drawn second?

• Only 5

• Only 6

• 5 and 6

• 4 and 5

In the card drawing scenario, if the first card drawn is a 5, which card cannot be drawn next?

• None, all can be drawn

• 4

• 6

• 5

What is the probability that the three-digit number formed by drawing cards is even?

• 1/3

• 1/2

• 2/3

• 3/4

What is the probability that the three-digit number formed by drawing cards is less than 500?

• 1/3

• 1/2

• 2/3

• 1/4