Data 605 Week 5 Discussion

What odds should a person give in favor of the following events? (a) A card chosen at random from a 52-card deck is an ace.

ace <- 4
cardDeck <- 52

ace/cardDeck

## [1] 0.07692308

2. Two heads will turn up when a coin is tossed twice.

\(P(H) = 1/2\) \(P(HH) = 1/2 * 1/2 = 0.25% or 1 in 4\)

(1/2) * (1/2)

## [1] 0.25

3. Boxcars (two sixes) will turn up when two dice are rolled

\(P(6) = 1/6\)

\(P(2x 6) = 1/6 * 1/6 = 2.77% = 1 in 36 chance\)

(1/6) * (1/6)

## [1] 0.02777778