Question

Sarah has two sets of cards. The first set of 26 cards is labeled with all the letters of the English Language. The second set of 10 cards is numbered 0 through 9.

If Sarah draws one lettered card and one numbered card at random, what is the probability of her drawing a letter in her name and an odd number? (Enter answer as a reduced fraction).

Answer 1

1/13

Explanation:

Probability of Sarah drawing a letter in her name

= number of letters in her name: S, A, R and H / total number of letters

= 4/26

Probability of drawing an odd number

= odd numbers / total numbers

= 5/10

Combining the above, Probability of her drawing a letter in her name and an odd number = 4/26 * 5/10

= 1/13

Answer 2

Total Alphabetical cards Sarah has ⇢ 26

Total Letters Sarah's name has ⇢ 4

Probability of getting a card with one of the letter in her name ⇢ 4/26

Total numerical Cards Sarah has ⇢ 10

Total odd numbers in those cards⇢5

Probability of getting a card with an odd number⇢ 5/10

probability of her drawing a letter in her name and an odd number⇢ 4/26 x 5/10 = 1/13