A card is chosen at random from an ordinary deck of playing cards. What is the probability that 1)if diamond is chosen 2)if king is chosen 3)a black 4 is chosen 4)a 7of heart is chosen
Answers
54 cards is in a deck of ordinary playing cards . It has 13 diamonds ,13 spades ,13 clubs and 13 hearts .
A diamond is chosen = 13 / 54 = 1/4
A king is chosen = 4/54
A black 4 is chosen = 2/54
A 7 of heart is chosen 1/54
Given,
Number of total cards = 52
To Find,
1)if a diamond is chosen =?
2)if a king is chosen =?
3)a black 4 is chosen =?
4)a 7of heart is chosen =?
Solution,
Number of total cards = 52
Number of diamond cards in the deck = 13
Probability of choosing a diamond card = Number of diamond cards / Total cards
Probability of choosing a diamond card = 13 / 52
Probability of choosing a diamond card = 1 / 4
Number of kings in the deck = 4
Probability of choosing a king = Number of kings / Total cards
Probability of choosing a king = 4 / 52
Probability of choosing a king = 1 / 13
Number of a black 4 in the deck = 2
Probability of choosing a black 4 = Number of a black 4 cards / Total cards
Probability of choosing a black 4 = 2 / 52
Probability of choosing a black 4 = 1 / 26
Number of 7 of hearts in the deck = 1
Probability of choosing 7 of hearts = Number of 7 of hearts / Total cards
Probability of choosing 7 of hearts = 1 / 52
Hence, the probability of getting a diamond, a king, a black 4, and a 7 of hearts are 1/4, 1/13, 1/26, and 1/52 respectively.