Question

A magician showed a magic trick where he picked one card from a standard deck. Determined what the probability is that the card will be a red color or a queen card?

Answer 1

7 / 13

Explanation:

The number of cards in a standard deck = 52

Number of red cards in a deck = 26

Number of queens in a deck = 4

Selecting a card at random ;

Probability of picking a red card ;

P(red card) = number of red cards / number of cards in deck

P(red card) = 26 / 52

P(queens card) = number of queens / number of cards in deck

P(queens card) = 4 / 52

Number of red queen cards = (red n queen) = 2

P(red or queens card) = P(red) + P(queens) - P(red n queen)

P(red or queens card) = 26/52 + 4/52 - 2/52

= (26 + 4 - 2) / 52

= 28 /52

= 7 / 13