Question 601044
i)


Let's say you draw a diamond card. What is the probability of drawing another diamond card? The probability would be 12/51 = 0.23529 (assuming you can't replace the cards). This idea can be done with any suit.


So in general, the probability of drawing two cards that are of the same suit is roughly 0.23529



Now let's say you draw a red card. The probability of drawing another red card is 25/51 = 0.490196


So the probability of drawing two red cards is 0.490196


Clearly 0.490196 is larger than 0.23529, which means that event B is more likely.


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ii)


P(Both red or same suit) = P(Both red) + P(same suit) - P(Both red and same suit)


P(Both red or same suit) = 25/51 + 12/51 - 12/51



P(Both red or same suit) = 25/51



P(Both red or same suit) = 0.49019



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iii)


P(A given B) = ( P(A and B) )/P(B)



P(same suit given both red) = ( P(same suit and both red) )/P(both red)



P(same suit given both red) = ( 12/51 )/(25/51)



P(same suit given both red) = ( 12/51 )*(51/25)



P(same suit given both red) = 12/25



P(same suit given both red) = 0.48