A classic deck of 52 cards is shown above. If you select one card at random, what is the probability of getting:(Answer should be a reduced fraction, where possible.)1) A 3 of Diamonds?  2) A Diamond or Heart?  3a) A number less than 3 (counting the ace as a 1)?  3b) Rewrite your answer as a percent, rounded to the nearest hundredth: %4a) A number greater than or equal to 3 (counting the ace as a 1)?  4b) Rewrite your answer as a percent, rounded to the nearest hundredth:

1. A 3 of Diamonds: In a deck of 52 cards, there is only one 3 of Diamonds. So, the probability of drawing a 3 of Diamonds is 1 out of 52, or 1/52.

2. A Diamond or Heart: There are 13 cards of each suit in a deck, so there are 13 Diamonds and 13 Hearts. This makes a total of 26 cards. So, the probability of drawing a Diamond or a Heart is 26 out of 52, or 1/2.

3a) A number less than 3 (counting the ace as a 1): There are four 2s and four Aces in a deck. So, there are 8 cards that are less than 3. So, the probability of drawing a card less than 3 is 8 out of 52, or 2/13.

3b) Rewrite your answer as a percent, rounded to the nearest hundredth: To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. So, (2/13)*100 = 15.38%.

4a) A number greater than or equal to 3 (counting the ace as a 1): There are 4 cards of each number from 3 to 10, 4 Jacks, 4 Queens, 4 Kings. So, there are 44 cards that are greater than or equal to 3. So, the probability of drawing a card greater than or equal to 3 is 44 out of 52, or 11/13.

4b) Rewrite your answer as a percent, rounded to the nearest hundredth: To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. So, (11/13)*100 = 84.62%.