Thursday, May 20, 2010

Probability of playing cards?

Three cards are drawn succession with replacement from a deck of 52 cards what is the probability that the third card is a spade, given that the first two cards drawn were not spades?

Probability of playing cards?
Probability that a card drawn is a spade:

4/52 or 1/13

Probability that a card drawn is not a spade:

(52-4)/52 or 12/13

1st draw not spade * 2nd draw not spade * 3rd draw spade

=(12/13) * (12/13) * (1/13)

you can solve the rest ;)

Hope this helps
Reply:25% is the probability that the third card is a spade.

Due to replacement, you will have the same probability on

the 2nd %26amp; 3rd draws as you did on the first draw.Beginning probability was 13/52 = 25%

By using replacement %26amp; I presume re-shuffling, you have

created conditions similar to rolling dice. All probabilities

would remain constant.

Asking the probability of a specific draw, with replacement,

makes that draw a single event. Would be quite different if

question were: Probability of a spade not being drawn in

three CONSECUTIVE draws? The event would then be

comprised of three actions.( 3/4*3/4*3/4) = 27/64 or

Reply:not a spade(3/4) not a spade(3/4) and spade(1/4)

=.1406 so a 14.1% chance of that occuring

What are some of the best hotels

No comments:

Post a Comment