) Suppose I ask you to pick any four cards at random from a deck of 52, without replacement, and bet that if at least one of the four is a face card (i. e., Jack, Queen, or King), you pay me one dollar; otherwise I pay you one dollar. Should you take the bet? Why? (Hint: See how the probability of this event compares to 50%. If this is too hard, try it with replacement first.) (b) What if the bet involves picking three cards at random instead of four? Should you take the bet then? Why?

Answer & Explanation:

a) Total ways to select 4 cards out of 52

= 52 C 4 = 270725

Total ways to select 4 cards out of 40 other (faceless) cards

= 40 C 4 = 91390

P( faceless cards ) = 91390 / 270725

= 0.3376

P( minimum 1 face ) = 1 - P( faceless cards )

= 1 - 0.3376

= 0.6624

You should take the bet because probability of winning is greater than 50%.

b) Total ways to select 3 cards out of 52

= 52 C 3 = 22100

Total ways to select 4 cards out of 40 other (faceless) cards

= 40 C 3 = 9880

P( faceless cards ) = 9880 / 22100

= 0.4471

P( minimum 1 face ) = 1 - P( faceless cards )

= 1 - 0.4471

= 0.5529

You should take the bet because probability of winning is greater than 50%.

you get a crown by getting lots of points and you get points by answering other peoples questions

the first successful, urban blues recording, selling more than 75,000 copies, was made in year 1920.

mamie smith recorded the first commercially successful example of the urban blues,   with the recording of “crazy blues”."crazy blues" was recorded on august 10, 1920, in new york city. within a month of the release of “crazy blues” it had sold 75,000 copies.