Question

A card is drawn from a pack if 52 cards.
(a) what is the probability that the card drawn is red in colour?
(B) what is the probability that the card drawn is green in colour?
(C) what is the probability that the card drawn is a diamond?
(D) what is probability that the card is a picture card (king,queen,jack)?

Answer 1

Dear Student,


$$\begin{gathered} a)Thereare26cardswhichareredincolor \\ probabilityofpickingaredcolor=\frac{26}{52} \\ =\frac{1}{2} \\ b)Numberofgreencolourcardsinapackof52cards=0asthereareonlyredandblackcolouredcards \\ probabilityofpickinggreencard=\frac{0}{52}=0 \\ c) \\ numberofdiamondcards=13 \\ probabilityofpickingdiamondcard=\frac{13}{52} \\ =\frac{1}{4} \\ d)numberofpicturecards=3\times 4=12cards \\ probability=\frac{12}{52} \\ =\frac{3}{13} \end{gathered}$$
Regards,