Question

In a regular 52 deck of cards, what is the probability of picking a random spade, a 4 of any suit and then a random diamond with replacement?

Answer 1

The Answer is 1/208

Answer 2

`sample \: space = 52 \: cards \\ spades = 13 \: cards \\ number \: 4s = 4 \: cards \\ diamonds = 13 \: cards \\ note \: that = \\ there \: is \: replacement \\ order \: does \: matter`

`P( \gamma ) = (13)/(52) * (4)/(52) * (13)/(52) = (1)/(208)`