Based on the calculations, the probability of obtaining exactly 2 threes is equal to 0.201.
Given the following data:
Number of rolls = 6 times.
Outcome = 2 threes.
How to calculate the probability.
We know that a fair die generally has six numbers, which is from one (1) to six (6). Thus, the probability of obtaining a three (3) when a fair die is rolled is 1/6.
Furthermore, the probability of obtaining exactly 2 threes is given by:
P(x = 2) = ²C₆ × (1/6)² × (5/6)²
P(x = 2) = 15 × 1/36 × (625/1296)
P(x = 2) = 15 × 0.0278 × 0.4823
P(x = 2) = 0.201.
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