Exploring Compound Events and Sample Space

What is a compound event?

• A compound event is a single simple event.

• A compound event is an event that cannot be broken down.

• A compound event is an event that occurs only once.

• A compound event is an event made up of two or more simple events.

Identify the sample space for rolling a six-sided die.

• {1, 2, 3, 4, 5, 6}

• {0, 1, 2, 3, 4, 5, 6}

• {1, 2, 3, 4, 5, 7}

• {1, 2, 3, 4}

If you flip a coin and roll a die, what is the sample space?

• {(T, 1), (T, 2), (T, 3), (T, 4), (T, 5)}

• {(H, 1), (T, 1), (H, 2), (T, 2)}

• {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}

• {(H, 1), (H, 2), (H, 3), (H, 4)}

Calculate the probability of rolling a 4 on a six-sided die.

• 1/3

• 2/6

• 1/6

• 1/4

What are independent events? Give an example.

• Drawing a card from a deck and flipping a coin

• Rolling two dice and getting the same number

• An example of independent events is flipping a coin and rolling a die.

• Choosing a random number and picking a fruit from a basket

Determine if the events 'drawing a red card' and 'rolling a 3' are independent.

• No, they cannot occur at the same time.

• Yes, the events are mutually exclusive.

• Yes, the events are independent.

• No, the events are dependent.

What is the probability of getting heads when flipping a coin?

• 0.75

• 1.0

• 0.25

• 0.5

If you draw two cards from a deck without replacement, are the events dependent or independent?

• Mutually exclusive

• Random

• Dependent

• Independent

Calculate the probability of drawing an Ace from a standard deck of cards.

• 1/13

• 2/13

• 1/52

• 1/26

What is the sample space for flipping two coins?

• {HH, HT, TH}

• {H, T}

• {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

• {HH, HT, TH, TT}