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.Com
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) (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
\ =\ \frac{P(E\,&\,F)}{P(F)}\ =^?\ P(E))
Or
\ =^?\ P(E)\cdot P(F))
Using the facts that:
\ =\ \text{\frac{Number of Aces}{Number of Cards}})
\ =\ \text{\frac{Number of Spades}{Number of Cards}})
and
\ =\ \text{\frac{Number of Aces of Spades}{Number of Cards}})
Do your own arithmetic.
John
My calculator said it, I believe it, that settles it
From
I > Ø
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