Probability and Outcomes with 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, and TT. For the dice roll, there are 36 possible outcomes, as each die can show a number from 1 to 6. The tutorial emphasizes understanding the combination of outcomes and how each event contributes to the total possibilities.

What are the possible outcomes when tossing a single coin?

• Only Heads

• Heads, Tails, or Edge

• Only Tails

• Heads or Tails

How many possible outcomes are there when tossing two coins at the same time?

• 2

• 3

• 5

• 4

Which of the following is a possible outcome when tossing two coins?

• Heads, Edge

• Tails, Edge

• Heads, Heads

• Edge, Edge

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

• 4

• 5

• 6

• 7

What is the total number of possible outcomes when rolling two dice?

• 12

• 24

• 30

• 36

If the first die shows a 1, what are the possible outcomes for the second die?

• 1, 2, 3, 4, 5

• 1, 2, 3

• 1, 2, 3, 4, 5, 6

• 1, 2, 3, 4

Which of the following represents an outcome when both dice show the same number?

• (5, 6)

• (1, 2)

• (2, 2)

• (3, 4)

What is the outcome when the first die shows 3 and the second die shows 5?

• (5, 3)

• (3, 3)

• (5, 5)

• (3, 5)

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

• 4

• 5

• 7

• 6

Which of the following is not a possible outcome when rolling two dice?

• (1, 7)

• (2, 6)

• (3, 5)

• (4, 4)