Question

A bag contains 26 letters and 10 numerals Amy draws two cards from the bag what is the probability that she draws two letters

Answer 1

The answer is 65/126.

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. So, in a bag, there are 36 cards in total. The probability to draw card with a letter is 26 out of 36 or
`(26)/(36)`. After the first draw, there are now 35 cards in the bag. The probability to draw card with a letter now is 25 (since one letter is already out) out of 35 or
`(25)/(35)`.
Since we need for both events to occur, using the multiplication rule, we can calculate the probability that Amy draws two letters:

`(26)/(36)` ×
`(25)/(35)` =
`(650)/(1260)` =
`(65)/(126)`