I think the answer is 8, not sure though
These are independent events so
P(A and B) = P(A) * P(B)
Therefore
P(Both gears fail) = 0.05 * 0.08 = 0.004 or 0.4%
There would be no most likely result because every time that she rolls that dice there is a 1/6 chance of getting any given number.