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In a single throw of a pair of dice, find the probability of obtaining a total of 4 or less.

Short Answer

Expert verified
The probability of obtaining a total of 4 or less in a single throw of a pair of dice is \(\frac{1}{6}\) or approximately 0.1667.

Step by step solution

01

Calculate the total number of outcomes

When rolling a pair of dice, there are 6 faces on each die, so there are 6 * 6 = 36 possible outcomes in a single throw.
02

Find the favorable outcomes

List all the possible outcomes where the sum of the numbers on the dice is 4 or less: (1, 1) = 2 (1, 2) = 3 (1, 3) = 4 (2, 1) = 3 (2, 2) = 4 (3, 1) = 4 There are 6 favorable outcomes.
03

Calculate the probability

The probability is the number of favorable outcomes divided by the total number of outcomes. In this case, it is: Probability = (Favorable outcomes) / (Total outcomes) = 6 / 36 Simplify the fraction: Probability = 1 / 6 So, the probability of obtaining a total of 4 or less in a single throw of a pair of dice is \(\frac{1}{6}\) or approximately 0.1667.

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