
One card from the pack is drawn at random from 52 cards. What is the probability of getting a king or a queen?
Answer
510.6k+ views
Hint: Here it is a simple probability question. And we will solve this by solving the probability of getting a king out of all the cards and probability of getting a queen out of all the cards. And by adding them we will get the probability of getting a king or a queen.
Complete step-by-step answer:
The number of cards in a pack = 52
The number of the kings in a pack = 4
If we draw one card at random from the 52 cards,
Then the probability of getting a king = number of kings/number of all the cards
i.e. probability of getting a king = 4/52
Or, probability of getting a king = 1/13
The number of the queens in a pack = 4
If we draw one card at random from the 52 cards,
Then the probability of getting a queen = number of queens/number of all the cards
i.e. probability of getting a queen = 4/52
Or, probability of getting a queen = 1/13
The probability of getting a king or a queen out of all the cards = probability of getting a king out of all the cards + probability of getting a queen out of all the cards
= 1/13 + 1/13
= (1+1)/13
= 2/13
Hence the probability of getting a king or a queen out of 52 cards is 2/13.
Note: You might mistake the question as a king and a queen in place of a king or a queen.
Probability is concerned with numerical description of how likely an event is to occur and how likely it is that a proposition is true. It is always between 0 and 1.
The formula of probability in simple language is, number of favorable outcomes/total outcomes.
You should practice similar questions of probability related to cards, dice, coins, balls etc.
Complete step-by-step answer:
The number of cards in a pack = 52
The number of the kings in a pack = 4
If we draw one card at random from the 52 cards,
Then the probability of getting a king = number of kings/number of all the cards
i.e. probability of getting a king = 4/52
Or, probability of getting a king = 1/13
The number of the queens in a pack = 4
If we draw one card at random from the 52 cards,
Then the probability of getting a queen = number of queens/number of all the cards
i.e. probability of getting a queen = 4/52
Or, probability of getting a queen = 1/13
The probability of getting a king or a queen out of all the cards = probability of getting a king out of all the cards + probability of getting a queen out of all the cards
= 1/13 + 1/13
= (1+1)/13
= 2/13
Hence the probability of getting a king or a queen out of 52 cards is 2/13.
Note: You might mistake the question as a king and a queen in place of a king or a queen.
Probability is concerned with numerical description of how likely an event is to occur and how likely it is that a proposition is true. It is always between 0 and 1.
The formula of probability in simple language is, number of favorable outcomes/total outcomes.
You should practice similar questions of probability related to cards, dice, coins, balls etc.
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