Question

You randomly choose a letter from A to F and a whole number from 1 to 6. The number of possible outcomes in the sample space is-

A) 6
B) 12
C) 18
D) 36

Answer 1

To find the number of possible outcomes, multiply the 6 letters by the 6 numbers, resulting in 36 possible outcomes in the sample space.

Step-by-step explanation:

The question involves finding the number of possible outcomes in a sample space when you randomly choose a letter from A to F and a whole number from 1 to 6. To determine this, you multiply the two numbers of outcomes. There are 6 letters (A to F) and 6 numbers (1 to 6), so in total, there are 6 x 6 = 36 possible outcomes. This is similar to understanding the sample space for other probability problems, such as flipping a coin and rolling a die, where each action has its own set of possible outcomes. The sample space for flipping a coin and rolling a die would be listed as outcomes such as H1, T6, etc. Similarly, choosing a letter and a number has outcomes like A1, B2, and so on until F6.