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)
and
Probability 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 = 1/4
The probability is [tex]\frac{1}{4}[/tex]
