Mathematics 2015 JAMB Past Questions - Question 48: A card is picked at random from a pack of 52 well shuffled playing cards.Find the probability of NOT picking a red card ,if there are 13 red cards in the pack .

Correct Answer

A

Explanation

Pr(not red)1-13/521-1/4=4-1 /4=3/4The probability of not picking a red card can be found by dividing the number of non-red cards by the total number of cards in the deck.Since there are 13 red cards in a deck of 52 cards, there are \(52 - 13 = 39\) non-red cards.Therefore, the probability of not picking a red card is:\[ \text{Probability} = \frac{\text{Number of non-red cards}}{\text{Total number of cards}} = \frac{39}{52} = \frac{3}{4} \]So, the probability of not picking a red card is \(\frac{3}{4}\) or 75%.