SOLUTION: One card is dealt from a standard 52-card deck of cards .find each of the probabilities below: A.) let event E= {the card drawn is a club } Find P(E) B.) let event F= {the ca

Algebra ->  Permutations -> SOLUTION: One card is dealt from a standard 52-card deck of cards .find each of the probabilities below: A.) let event E= {the card drawn is a club } Find P(E) B.) let event F= {the ca      Log On


   

Question 868363: One card is dealt from a standard 52-card deck of cards .find each of the probabilities below:
A.) let event E= {the card drawn is a club }
Find P(E)
B.) let event F= {the card drawn is a red card that is greater than four and less than 9}
Find P(F)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There are 13 clubs. This is out of 52 cards total


P(E) = 13/52 = 1/4


-------------------------------------------------------


These cards are between 4 and 9 (excluding both endpoints): 5, 6, 7, 8


There are 2 versions of each that are red (eg: 5 of hearts and 5 of diamonds)


So there are 4*2 = 8 cards total that are red and between 4 and 9 (excluding both endpoints). This is out of 52 cards total.


P(F) = 8/52 = 2/13