Question

have we? probability & statistics a) (something)ty: (c) what is the probability of rolling a 8 on two dice? (d) what is the probability of...

Explanation:

Step1: Determine total outcomes

When rolling two dice, each die has 6 faces. So total outcomes = \(6\times6 = 36\).

Step2: Find favorable outcomes for sum 8

The pairs \((x,y)\) where \(x + y = 8\) are: \((2,6)\), \((3,5)\), \((4,4)\), \((5,3)\), \((6,2)\). So there are 5 favorable outcomes.

Step3: Calculate probability

Probability \(P=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}=\frac{5}{36}\).

Answer:

\(\frac{5}{36}\)