Question
Suppose we roll a die once. What is the probability that we roll a 1 or a 2 ?
Write the probability as a simplified fraction.
Write the probability as a simplified fraction.
Ask by Turnbull Harris. in the United States
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of rolling a 1 or a 2 is
.
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The Deep Dive
When rolling a six-sided die, there are 6 possible outcomes: 1, 2, 3, 4, 5, and 6. The favorable outcomes for rolling a 1 or a 2 are just two outcomes: {1, 2}. Therefore, the probability of rolling a 1 or a 2 is calculated as the number of favorable outcomes divided by the total number of outcomes, which gives us
. Simplifying this fraction yields
. So, the probability of rolling a 1 or a 2 is
.