Outcomes of Dice and Coins

The video tutorial explains how to combine simple events to determine all possible outcomes. It uses examples of tossing two coins and rolling two dice to illustrate the concept. For the coin toss, there are four possible outcomes: HH, HT, TH, TT. For the dice roll, there are 36 possible outcomes, as each die can show any number from 1 to 6. The tutorial emphasizes understanding how individual outcomes combine to form a set of possible outcomes.

What are the possible outcomes when tossing a single coin?

• Heads only

• Neither

• Tails only

• Heads or Tails

How many possible outcomes are there when tossing two coins?

• 5

• 2

• 3

• 4

What does the first part of each outcome represent when tossing two coins?

• Coin 1

• Both coins

• Coin 2

• Neither

When rolling a single die, how many possible outcomes are there?

• 5

• 4

• 6

• 7

What is the outcome when the first die shows 1 and the second die shows 2?

• 1,2

• 1,1

• 2,2

• 2,1

If the first die shows 3, what is one possible outcome for the second die?

• 3,1

• 3,7

• 3,8

• 3,9

What is the outcome when the first die shows 1 and the second die shows 6?

• 6,6

• 6,1

• 1,6

• 1,5

If the first die shows 2, what is one possible outcome for the second die?

• 2,9

• 2,8

• 2,7

• 2,1

How many outcomes are there when the first die shows 1?

• 4

• 7

• 5

• 6

How many outcomes are there when the first die shows 4?

• 4

• 5

• 6

• 7