MATH SOLVE

2 months ago

Q:
# You roll a 6-sided die two times. What is the probability of rolling a number less than 4 and then rolling a number greater than 3? Write your answer as a percentage.

Accepted Solution

A:

Answer:[tex]\frac{1}{4}[/tex]Step-by-step explanation:In probabilty,"AND" means "multiplication""OR" means "addition"Here, we want probability of "rolling number less than 4" "AND" "rolling number greater than 3". Thus, we find the inidvidual probabilities and then "MULTIPLY" (since "AND").In a 6-sided die, the numbers are 1,2,3,4,5, and 6.Thus,Probability of rolling a number less than 4 = 3/6 = 1/2 (the numbers are 1,2, and 3)andProbability of rolling a number greater than 3 = 3/6 = 1/2 (the numbers are 4,5, and 6)Thus:P(less than 4) and P(greater than 3) = 1/2 * 1/2 = 1/4The probability is [tex]\frac{1}{4}[/tex]