Answer:
0.4167 is the probability of rolling a sum less than 7.
Step-by-step explanation:
We are given the following in the question:
Event: A standard pair of six-sided dice is rolled
A: rolling a sum less than 7
Sample space:
{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
A:
{(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(4,1),(4,2),(5,1)}
Formula:
[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]P(A) = \dfrac{15}{36} = 0.4167[/tex]
0.4167 is the probability of rolling a sum less than 7.
