Two dice are rolled simultaneously. The probability that the sum of the two numbers on the top faces will be at least 10 is
1/6
We will first find the total number of cases, then the total number of favorable outcomes.
We do this because we know that the probability can be found as
P(A)=number of favorable outcomestotal outcomes
When we throw a pair of dice, the total number of outcomes in 36
[Starting from (1,1),(1,2)....(1,6)....(5,6),(6,1),....(6,6)]
Wehave to find those outcomes where the sum of the digits is at least 10.
These outcomes are (4,6),(5,5),(6,4),(5,6),(6,5) and (6,6)
⇒ Probability =636
=16