I am stuck on a probability question.
Please help and tell me the easiest way to find the answer to this..
I am confused and keep getting 5/6
A fair die is rolled..what is the probability of rolling an odd number or a number less than 3?
the actual answer is 2/3..
tell me how did you get here.. and what formula and what step to use.. what is the name of this method called.
1,3,5 are odd
1,2 are below 3
since 1 is in both groups you don't need to count it both times so it would be
1,2,3,5 meaning 4/6=2/3
4/6=2/3
To find the probability of rolling an odd number or a number less than 3 on a fair die, we can use the method of counting favorable outcomes and dividing it by the total number of possible outcomes.
Step 1: Count the favorable outcomes - In this case, we want to count the number of outcomes that satisfy the condition of rolling an odd number or a number less than 3.
The odd numbers on a fair die are 1, 3, and 5. The numbers less than 3 are 1 and 2. So, the favorable outcomes are 1, 2, 3, 5. Therefore, there are 4 favorable outcomes.
Step 2: Count the total number of possible outcomes - On a fair die, there are 6 possible outcomes, which correspond to the numbers 1 to 6.
Step 3: Calculate the probability - Divide the number of favorable outcomes (4) by the total number of possible outcomes (6):
Probability = Number of favorable outcomes / Total number of possible outcomes
= 4/6
= 2/3
So, the probability of rolling an odd number or a number less than 3 is 2/3.
The method we used here is called the "counting method" or "counting favorable outcomes method." It involves counting the number of outcomes that satisfy a particular condition and dividing it by the total number of possible outcomes.