Answer:
The probability of drawing three queens is 1/425
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