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 1177193: 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 Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


There are two ways to show that E and F are independent. One way is to show that the probability of E given F is equal to the probability of E, and the other is to show that the probability of both E and F occurring is equal to the product of P(E) and P(F).

So



Or



Using the facts that:





and



Do your own arithmetic.

John

My calculator said it, I believe it, that settles it

From
I > Ø