What would be the total number of outcomes in each sample space?
picking a number from 1 to 30 and a letter from the alphabet
What is 30*26 ?
To calculate the total number of outcomes in a sample space, we need to multiply the number of possible outcomes for each individual event.
1. Picking a number from 1 to 30: There are 30 possible numbers to choose from, so the number of outcomes for this event is 30.
2. Picking a letter from the alphabet: There are 26 letters in the alphabet, so the number of outcomes for this event is 26.
To find the total number of outcomes in the sample space, we multiply these two numbers together:
Total number of outcomes = Number of outcomes for picking a number × Number of outcomes for picking a letter
Total number of outcomes = 30 × 26
Total number of outcomes = 780
Therefore, the total number of outcomes in this sample space is 780.
To find the total number of outcomes in each sample space, we need to multiply the number of outcomes for each event together.
For picking a number from 1 to 30, we have 30 possible outcomes since there are 30 numbers to choose from.
For picking a letter from the alphabet, we need to determine how many letters are in the alphabet. There are 26 letters in the English alphabet.
Therefore, the total number of outcomes in each sample space is:
30 (possible numbers) * 26 (possible letters) = 780 total outcomes.