Question

Compound Events Portfolio

Answer 1

Scenario 1: Rolling a Dice and Flipping a Coin

Event 1: Rolling a Dice
Possible outcomes: {1, 2, 3, 4, 5, 6}

Event 2: Flipping a Coin
Possible outcomes: {Heads, Tails}

Compound event: Rolling a dice and flipping a coin at the same time
Possible outcomes: {(1, Heads), (1, Tails), (2, Heads), (2, Tails), (3, Heads), (3, Tails), (4, Heads), (4, Tails), (5, Heads), (5, Tails), (6, Heads), (6, Tails)}

Scenario 2: Drawing Cards from a Deck

Event 1: Drawing a card from a deck of playing cards
Possible outcomes: {Heart, Diamond, Club, Spade}

Event 2: Drawing a second card from the deck without replacing the first card
Possible outcomes: {Heart, Diamond, Club, Spade}

Compound event: Drawing two cards from the deck without replacement
Possible outcomes: {(Heart, Diamond), (Heart, Club), (Heart, Spade), (Diamond, Heart), (Diamond, Club), (Diamond, Spade), (Club, Heart), (Club, Diamond), (Club, Spade), (Spade, Heart), (Spade, Diamond), (Spade, Club)}

These compound events involve multiple independent events occurring simultaneously or sequentially, and the possible outcomes can be determined by listing all the possible combinations of the outcomes of each individual event.