For questions 9-15, give each answer as a fraction in simplest form.
9. Natalie randomly answered the last three
true-or-false questions on her math quiz.
What is the probability that she got at least
two correct?
10. Two dice are rolled. What is the probability
that the sum on the
two dice is less than 6?
11. The probability of winning a coupon at
the grocery store checkout is 2/25. What is
the probability of not winning?
12. A number from 1-30 is chosen at random.
What is the probability that the
number is
not a prime number?
a) P(instrument)
13. A group of students were asked if they play a sport or play an instrument. The results are shown
in the Venn diagram below. If one of these students is chosen at random, find each probability.
b) P(does not play a sport)
Instrument
Sport
14 (8) 18
c) P(both instrument and a sport)
d) P(sport but not an instrument)
10
4. Out of 75 students, 45 are taking Algebra 2 and 32 are taking Chemistry. Sixteen students are
taking both Algebra 2 and Chemistry. If a student is chosen at random, what is the probability
that the student is taking Algebra 2 but not Chemistry?
5. A die was rolled 40 times. The results of each roll is given in the table below. If the die is rolled
once more, find the experimental and theoretical probability for each result.
Result Frequency
Theoretical
Experimental
1
2
a) P(5)
2
10
b) P(1 or 6)
3
5
4
4
c) P(no more than 4)
5
7
6
12
d) P(greater than 2)
Gina Wilson (All Things Algebra, LLC). 2020