(i) Total number cards in a deck = 52
Number of 4’s in a deck of cards = 4
Probability (P) = \(\frac{Number\,of\,favorable\,outcomes}{Total\,number\,of\,in\,a\,deck}\)
∴ Probability of drawing a 4 numbered card from the deck of cards P(4)
= \(\frac{Numbe\,of\,4's\,in\,deck\,of\,cards}{Total\,number\,of\,cards\,in\,a\,deck}\) = \(\frac{4}{52}=\frac{1}{13}\)
(ii) Total number cards in a deck = 52
Number of Queens in a deck of cards = 4
Probability (P) = \(\frac{Number\,of\,favorable\,outcomes}{Total\,number\,of\,in\,a\,deck}\)
∴ Probability of drawing a queen from the deck of cards P(queen)
= \(\frac{Number\,of\,queen\,in\,a\,deck\,of\,cards}{Total\,number\,of\,in\,a\,deck}\) = \(\frac{4}{52}=\frac{1}{13}\)
(iii) Total number cards in a deck = 52
Number of black cards in a deck of cards = 26 (13 spades and 13 clubs)
Probability (P) = \(\frac{Number\,of\,favorable\,outcomes}{Total\,number\,of\,in\,a\,deck}\)
∴ Probability of drawing a black card from the deck of cards P(black)
= \(\frac{Number\,of\,black\,cards\,in\,a\,deck\,of\,cards}{Total\,number\,of\,cards\,in\,a\,deck}\) = \(\frac{26}{52}=\frac{1}{2}\)
