Answer:Probability that Bernado's number is larger than Silvia's is 37/56
Step-by-step explanation:
Bernardo has a chance of picking 9 and he always have a larger integer.
Probability of picking 9 = 3/9 =1/3
Probability of not picking 9= 1- (1/3) = 2/3
When Bernado picks any number from 1 - 8, there is a chance of 2 possibilities.
Probability of picking 2 same numbers= 8C3
= 8×7×6/(3×2)
=56
Probability of same numbers=1/56
Number picked by Bernado is larger= 55/56
Half of these will be his.
P(larger) = 1/2 ×(55/56) = 55/112
Total Probability = 1/3 +(2/3 × 55/112)
Total Probability = 1/3 + 55/168 = 37/56
