a pair of standard dice are rolled. find the probability of rolling a sum of 2 with these dice. p(d1 + d2 =…
a pair of standard dice are rolled. find the probability of rolling a sum of 2 with these dice. p(d1 + d2 = 2) = ?
Answer
Answer:
$\frac{1}{36}$
Explanation:
Step1: Find total number of outcomes
Each die has 6 faces. When two dice are rolled, the total number of outcomes is $6\times6 = 36$ by the multiplication - principle.
Step2: Find favorable outcomes
The only way to get a sum of 2 when rolling two dice is $(1,1)$. So there is 1 favorable outcome.
Step3: Calculate probability
The probability $P$ of an event is given by $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P=\frac{1}{36}$.