Problem

A single die is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is 2 . The probability of getting two numbers whose sum is 2 is (Type an integer or a simplified fraction.)

Solution

Step 1 :A single die is rolled twice. The 36 equally-likely outcomes are shown to the right.

Step 2 :The only way to get a sum of 2 when rolling a die twice is to roll a 1 on both rolls.

Step 3 :Since there are 6 possible outcomes for each roll, there are a total of \(6*6 = 36\) possible outcomes.

Step 4 :The event of rolling a 1 on both rolls is just one of these outcomes.

Step 5 :So, the probability of this event is \(\frac{1}{36}\).

Step 6 :Final Answer: The probability of getting two numbers whose sum is 2 when rolling a die twice is \(\boxed{\frac{1}{36}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/8303/

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