Question

When you roll 2 die, what is the probability of the event: Two numbers are odd and the sum is less than 5.

Answer 1

Answer: 1/12

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Step-by-step explanation:

Let's use (x,y) notation to denote the results of the two dice. So x is the first dice value and y is the second. Something like (2,1) means we rolled a '2' on the first die, and a '1' on the second die. The order matters.

We want both x and y to be odd, and we also want x+y < 5.

Here are all of the ways to fit those conditions:

• (1,1)
• (1,3)
• (3,1)

There are 3 ways to achieve this goal out of 6*6 = 36 ways to roll two dice without any restriction. The probability we're aiming for is 3/36 = 1/12

Side note: 1/12 = 0.0833 = 8.33% approximately.