A card is drawn at random from a standard 52-card deck. Events G and H are:
G= the drawn card is black
H= the drawn card is divisible by 5 (face cards are not valued)
(B)Test H and G for independence
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P(H|G) means the probability of H given G.
Given that the drawn card is black, the sample space is 26 cards. There are 4 black cards that are either a 5 or a 10.
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Thank you for the help! @kropot72
You're welcome :)
however would Test H and G for independence... would it be independent?
oh its independent
If two events A and B are independent, then the probability of A occurring is unaffected by whether of not B has occurred. Therefore if the events are independent
P(A|B) = P(A)
In this case we test whether P(H|G) = P(H)
There are 8 cards that are 5 or 10 and either black or red. Therefore
Have we confirmed that H and G are independent?
Yes this is independent :)
thank you once again for your help! much appreciated!