One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally likely, calculate the probability that the card will be (i) diamond (ii) not an ace (iii) a black card.

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$$\begin{gathered} Given : A well shufled deck of 52 cards in which each outcome is equally likely and one card is drawn from it. \\ To Calculate : Probability that the drawn card will be \left(a\right) diamond \left(b\right) Not an ace \left(c\right) a black card \\ \left(a\right) there are 13 diamonds in a deck \\ \Rightarrow Probability that the drawn card will be diamond=\frac{13}{52}=\frac{1}{4} \\ \left(b\right) there are 4 aces in a deck one from each suit \\ So, no. of card that are not ace=52-4=48 \\ \Rightarrow Probability that the drawn card will not be an ace=\frac{48}{52}=\frac{12}{13} \\ \left(a\right) there are 26 black cards in a deck \\ \Rightarrow Probability that the drawn card will be a black card=\frac{26}{52}=\frac{1}{2} \end{gathered}$$

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