Probability Examples 1. D6-six sided die What is the event? What are the mutuall

Question

Probability Examples 1. D6-six sided die What is the event? What are the mutually exclusive outcomes? How many outcomes are there? What are the probabilities? 2, 2D6 = two six sided die What is the complex event? What are the mutually exclusive outcomes? How many outcomes are there? What are the probabilities? 3. 3D6 What is the complex event? What are the mutually exclusive outcomes? How many outcomes are there? What are the probabilities? What is the probability of getting a combined total of 17? Conditional Probability Examples 4. Describe a 52 card standard deck of cards in terms of events and outcomes. 5. How many ways can a deck be shuffled (How many card orders are possible)? 6. In a five card hand, what is the probability of a royal flush? 7. What is the probability of 3 of a kind? Problems How many ways are there to get a combined total of six on all dice when rolling 1) 1D6? 2) 2D6? 3) 3D6? What is the probability of getting a combined total of six on all dice when rolling 5) 2D6? 6) 3D6? In a 5 card hand dealt from a 52 card deck, 7) What is the probability of getting all red cards? 8) What is the probability of a 4 of a kind? 9) What is the probability of getting 4 different suits?

Explanation / Answer

1. The event is the roll of a die.

The mutually exclusive outcomes are appearances of 1, 2, 3, 4, 5 and 6.

There are 6 outcomes. The probability of each outcome is 1/6.

2. The event is rolling of 2 dice together.

The mutually exclusive outcomes are (1,1),(1,2),(1,3),(1,4),(1,5), (1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4), (3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4), (5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).

There are in all, 36 outcomes. The probability of each outcome is 1/36.

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