Answer:
The probability of drawing three queens from a standard deck of cards is 0.000162 approximately.
Step-by-step explanation:
Total cards in a deck = 54
No. of queens in a deck = 4
Probability of drawing a queen card = 4/54
Now that 1 queen has been takes, the no. of cards become = 53 and no. of queens = 3
Probability of getting a queen again = (3/53)(4/54)
Probability of drawing three queens in a row without replacement:
Two queens have already been removed. Considering this, we know that:
No. of cards in the deck = 52
No. of queens in the deck = 2
Probability of drawing three queens = (Probability of getting a 3rd queen)x(Probability that the first two from a deck were queen cards)
= (2/52)(3/53)(4/54)
= 0.000162 approximately
Answer:
The probability of drawing three queens is 1/425
Step-by-step explanation:
* lets talk about the deck cards
- The deck cards has 52 cards
- It has four symbols (heart , diamond , clubs , spades)
- Each symbol has 16 cards (from 1 to 10 and king , queen , princess)
* Lets solve the problem
- We will drawing three cards
- The cards are not replaced
- That means the total of the card will reduce by 1 after each drawing
- The cards will drawing are queens
- The first card drawn will be a queen
∵ The first card drawn is queen
∴ The number of cards for the second drawn is 52 - 1 = 51
∵ There are 4 queens in the deck cards we took one for the first choice
∴ The number of queen for the second choice is 4 - 1 = 3
∴ The probability of second choice is 3/51
- Now there are 2 queens and 50 cards after the second choice
∴ The number of the queen is 3 - 1 = 2
∴ The number of the deck cards is 51 - 1 = 50
∴ The probability of third choice is 2/50
- The probability of the three cards is the product of the two fractions
∴ The probability of drawing three queens = 3/51 × 2/50 = 6/2550
- Simplify the fraction
* The probability of drawing three queens = 1/425
