SOLUTION: A card is elected at random from an ordinary deck of 52 playing cards. If E is the event that the selected card is an ace and F is the event that it is a spade, show that E and F

Algebra ->  Probability-and-statistics -> SOLUTION: A card is elected at random from an ordinary deck of 52 playing cards. If E is the event that the selected card is an ace and F is the event that it is a spade, show that E and F       Log On


   

Question 1177215: A card is elected at random from an ordinary deck of 52 playing cards. If E is the event
that the selected card is an ace and F is the event that it is a spade, show that E and F are
independent events
Thank You :)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi
 selected a from a card  from an ordinary deck of 52 playing cards
There is only 1 Ace of Spades:  P(A of Spade) = 1/52

if the same variables are independent then they can be expressed as 
P(A∩B) = P(A) P(B).
P(S∩A) = (13/52)(4/52) = ( 52)/ (52)(52) = 1/52

Wish You the Best in your Studies.