Question

A die is rolled. Find each probability.
1. P(less than 3)
2. P(multiple of 3 or 4)
3. P(multiple of 2 or 3)

Answer 1

2/6
3/6
4/6

Answer 2

less than 3
{1,2}
multiple of 3 or 4
{3,4,6}
multiple of 2 or 3
{2,3,4,6}

Answer 3

For case 1, your looking for the probability of either a 1 or 2 rolling up.
There are 6 possible outcomes 1-6.
Thus P for 1-2 is equal to
\[Probability = Number of outcomes we look for \div Total number of outcomes\]
Thus case 1 - 2/6 = 1/3
Case 2 - 3/6 = 1/2
Case 3 - 4/6 = 2/3

Answer 4

The total number of possibilities is 6.

1. two cases: \[2/6 = 1/3\]
2. three cases (3,4,6) : \[3/6 = 1/2\]
3. four cases (2,3,4,6): \[4/6 = 2/3\]

Answer 5

Thank all your guy