What is the probability of rolling a fair number cube and landing on a 6 and selecting a spades from a deck of cards?

Answer 1

Probability of 6 and spade = 1/6 x 1/4 = 1/24

= slightly over 4% chance

a cube has 6 sides, there's a 1/6 chance of getting a 6

or a 1/6 chance of getting a 1, 2,3, 4, 5 or 6

a deck of 52 cards has 13 spades. chance of a spade = 13/52 = 1/4. assuming no jokers in the deck. then chance of 6 and spade = 1/6 x 1/4 = 1/24 = 4.1666...% = about 4.17%

54 card decks have 2 jokers, which could be used as any suit, such as spades. then the odds would increase to 1/6 x 15/54 = 1/6 x 5/18 = 5/108 = about about 4.63%

multiply 1/6 times 1/4 to get the probability of both a 6 and a spade, if the cube is fair and the card is randomly selected from a 52 card deck that's fairly shuffled and not stacked