When randomly choosing two cards from a standard deck of cards without replacement, what is the probability of choosing a number

Question

4 years ago

8

When randomly choosing two cards from a standard deck of cards without replacement, what is the probability of choosing a number

card and then an ace? (Remember: standard deck has 52 cards, with 4 aces and 12 face cards)
Question 6 options:

12/221

3/169

4/221

9/169

Mathematics

1 answer:

MAXImum [283] · Answer 1 · 2022-01-29T05:05:38+03:00

The correct answer is 12/221.

To find this, we need to find the chance of each event happening and then multiply the two fractions together.

The chance of drawing a number card is 36/52.

The chance of drawing an ace (after drawing a number card) would be 4/51.

36/52 x 4/51 = 12/221