Solve the problem.A single die is rolled one time. Find the probability of rolling an odd number or a number less than 3.Group of answer choices
Question
Solve the problem.
A single die is rolled one time. Find the probability of rolling an odd number or a number less than 3.
Group of answer choices
Solution
The possible outcomes when a die is rolled are {1, 2, 3, 4, 5, 6}.
Step 1: Identify the outcomes that satisfy the condition of rolling an odd number. The odd numbers are {1, 3, 5}. So, there are 3 outcomes that satisfy this condition.
Step 2: Identify the outcomes that satisfy the condition of rolling a number less than 3. The numbers less than 3 are {1, 2}. So, there are 2 outcomes that satisfy this condition.
Step 3: Notice that the number 1 is counted in both conditions. We should not count it twice.
Step 4: So, the total number of favorable outcomes is 3 (from step 1) + 2 (from step 2) - 1 (overlapping) = 4.
Step 5: The probability of an event is the number of favorable outcomes divided by the total number of outcomes. The total number of outcomes when a die is rolled is 6.
So, the probability of rolling an odd number or a number less than 3 is 4/6 = 2/3.
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