Use tree diagrams for picks without replacement
10th grade (Year 11 in England) · 16 questions · Common Core: HSS.CP.B.8, HSS.CP.A.2 · England: GCSE Higher Probability
Name
Date
Score/ 16
Question 1
A playlist has 3 pop songs and 2 rock songs. Two different songs are picked at random. Find P(one of each type) as a fraction in simplest form.
Answer(as a fraction)
Question 2
A bag has 3 red and 5 blue counters. Two are taken out without replacement. Find P(both red) as a fraction in simplest form.
Answer(as a fraction)
Question 3
A box has 8 vanilla and 4 chocolate biscuits. Two are eaten at random. Find P(at least one chocolate) as a fraction in simplest form.
Answer(as a fraction)
Question 4
A playlist has 7 pop songs and 4 rock songs. Two different songs are picked at random. Find P(one of each type) as a fraction in simplest form.
Answer(as a fraction)
Question 5
A bag has 5 red and 2 blue counters. Two are taken out without replacement. Find P(both red) as a fraction in simplest form.
Answer(as a fraction)
Question 6
A box has 3 vanilla and 3 chocolate biscuits. Two are eaten at random. Find P(at least one chocolate) as a fraction in simplest form.
Answer(as a fraction)
Question 7
A playlist has 5 pop songs and 5 rock songs. Two different songs are picked at random. Find P(one of each type) as a fraction in simplest form.
Answer(as a fraction)
Question 8
A bag has 6 red and 5 blue counters. Two are taken out without replacement. Find P(both red) as a fraction in simplest form.
Answer(as a fraction)
Question 9
A box has 3 vanilla and 5 chocolate biscuits. Two are eaten at random. Find P(at least one chocolate) as a fraction in simplest form.
Answer(as a fraction)
Question 10
A playlist has 5 pop songs and 2 rock songs. Two different songs are picked at random. Find P(one of each type) as a fraction in simplest form.
Answer(as a fraction)
Question 11
A bag has 5 red and 3 blue counters. Two are taken out without replacement. Find P(both red) as a fraction in simplest form.
Answer(as a fraction)
Question 12
A box has 4 vanilla and 3 chocolate biscuits. Two are eaten at random. Find P(at least one chocolate) as a fraction in simplest form.
Answer(as a fraction)
Question 13
A playlist has 3 pop songs and 6 rock songs. Two different songs are picked at random. Find P(one of each type) as a fraction in simplest form.
Answer(as a fraction)
Question 14
A bag has 5 red and 6 blue counters. Two are taken out without replacement. Find P(both red) as a fraction in simplest form.
Answer(as a fraction)
Question 15
A box has 3 vanilla and 4 chocolate biscuits. Two are eaten at random. Find P(at least one chocolate) as a fraction in simplest form.
Answer(as a fraction)
Question 16
A playlist has 2 pop songs and 8 rock songs. Two different songs are picked at random. Find P(one of each type) as a fraction in simplest form.
Answer(as a fraction)
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