We want to find the probability that Bob will randomly draw $30 in tokens. We will find that the probability is P = 1/6 = 0.167
The only case where he draws $30 randomly is when:
Then we need to find the probabilities for these two events.
For the first one, the probability will be equal to the quotient between the number of $5 tokens and the total number of tokens in the cup. There are 6 tokens in the cup and 2 of these are $5 tokens, then the probability is:
p = 2/6 = 1/3
For the second event the probability is computed in the same way, he has two tokens in his pocket and one of them is a $25 token, then the probability is:
q = 1/2
The joint probability, the probability that both of these events happen at the same time, is given by the product of the individual probabilities, so we get:
P = p*q = (1/3)*(1/2) = 1/6 = 0.167
So the probability that he draws $30 in tokens is P = 1/6 = 0.167.
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
