Question

What is the probability of first drawing the ace of spades and then drawing

any of the three remaining aces from a 52-card pack?​

Answer 1

To find :

• Probability of first drawing the ace of spades and then drawing any of the three remaining aces from a 52-card pack?

Solution :

The probability of drawing an ace spade card from a deck of cards

→ No. of spade cards in ace suit = 1

→ Total no. of cards = 52

→ Probability of drawing an ace card = No. of ace spade cards ÷ Total cards

→ 1/52

Therefore, the probability of drawing an ace card = 1/52

Probability of drawing any of the three remaining aces :-

→ No. of cards left = 52 - 1 = 51

→ No. of ace cards that can be drawn = 3 (one from heart suit, diamond suit and club suit.)

Probability of drawing any of the three remaining ace cards

→ No. of ace cards ÷ Total cards

→ 3/51

Now, simplifying further,

→ 1/17

Probability of drawing any of the three remaining ace cards = 1/17