Posted by christy on Wednesday, February 15, 2012 at 8:53pm.
A card is drawn from a standard deck of cards. Find P(A U B) in each part.
A= {getting a heart}, B= {getting an even number}
A= {getting a club}, B= {getting a red card}
A= {getting an ace}, B= getting a black card}
A= {getting a prime}, B= {getting a diamond}
Can you please show me how to work this

Probability  MathMate, Friday, February 17, 2012 at 6:58pm
In all the cases, the probabilities of P(A) are not mutually exclusive from P(B). For example, we can get a heart AND an even number, which is P(A∩B).
The event of getting a heart OR an even number is therefore obtained by the addition rule:
P(A∪B)=P(A)+P(B)P(A∩B)
P(A)=13 hearts out of 52=13/52=1/4
P(B)=6(assuming the queen is 12) /13 (for each suit)=6/13
P(A∩B)=#even hearts/52=6/52=3/26
So
P(A∪B)=P(A)+P(B)P(A∩B)
=1/4+6/133/26
=(14+246)/52
=8/13
The other ones are all similar.
Answer This Question
Related Questions
 maths  A deck has 52 cards it has 13 in each type find the probability of ...
 Math  Three cards are drawn from a deck of 52 playing cards and not replaced. ...
 statistic  For each of the following, assume you are working with a standard ...
 Math  Two cards are drawn in succession without replacement from a standard ...
 ProbabilityCards  As shown above, a classic deck of cards is made up of 52 ...
 Cards  As shown above, a classic deck of cards is made up of 52 cards, 26 are ...
 statistics  If one card is drawn from a standard 52 card playing deck, ...
 College Math  A card is selected from a standard deck of 52 playing cards. A ...
 Cards Probability  As shown above, a classic deck of cards is made up of 52 ...
 statistics  5 cards are drawn out of a regular deck without replacement; you ...
More Related Questions