0.0101 = 1.01% probability that your friend wins the first prize and you win the second prize.
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A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Event A: Your friend wins the first prize.
Event B: You win the second prize.
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Probability friend wins first prize:
10 out of 100 tickets, so:

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Probability you win second prize:
There will be 99 tickets remaining(1 has been sorted), you have then of then, so:

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What is the probability that your friend wins the first prize and you win the second prize?
Multiplication of the probabilities, thus:

0.0101 = 1.01% probability that your friend wins the first prize and you win the second prize.
A similar question is given at brainly.com/question/22281693