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Mathematics, 27.08.2021 06:00 raiindrxp

1. What is the sample space if you roll two dice? What is the probability of rolling a sum of 7? 2. You and a friend go to a restaurant where you both order a soup and a salad. There are four soups (A, B, C, D) and 3
salads (1, 2, 3) to choose from. If you and your friend decide to get completely unique meals, what is the sample space
of possible orders you can make?
3. Give 3 examples of disjoint events.
4. The probability that Bob gets to work on time is 80%. The probability that Sarah gets to work on time is 90%. The
probability that they're both on time is 72%. What's the probability that Bob OR Sarah is late for work?
5. Jake's Pizza Place is offering a deal where they'll deliver your pizza in under 30 minutes or your pizza is free. They
manage to deliver the pizza in under 30 minutes 92% of the time. What's the probability that you'll get your pizza for
free?
6. The probability that a randomly selected student in our class likes soccer is 54%. If we select 3 random students
from our class, what is the probability that all of them like soccer?
7. The probability that a randomly selected student in our class likes soccer is still 54%. If we select 4 random students
from our class, what is the probability that all of them don't like soccer?
8. There are 6 blue marbles, 5 red marbles, and 4 green marbles in a box. If you pull a green marble out of the box, what
is the probability that the next marble you draw is red?
9.60% of students in a class studied for a test AND got an A on that test. 75% of students studied for the test. What is
the probability that a student got an A given that they studied for the test?

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