Year 10 5.2 Probability

A letter is chosen from the word SUCCESS. The probability that the letter is not a C is:

• $\frac{2}{7}$

• $\frac{3}{5}$

• $\frac{5}{7}$

• $\frac{4}{7}$

• $\frac{3}{7}$

• $\frac{3}{10}$

• $\frac{9}{20}$

• $\frac{11}{20}$

• $\frac{17}{20}$

• $\frac{3}{20}$

For this Venn diagram, P(A or B) is equal to:

• $\frac{4}{5}$

• $\frac{1}{2}$

• $\frac{5}{8}$

• $\frac{1}{4}$

• $\frac{1}{10}$

15 people like apples or bananas. Of those 15 people, 10 like apples and 3 like both apples and bananas. How many like only apples?

• 5

• 3

• 13

• 7

• 10

A letter is chosen from each of the words CAN and TOO.

The probability that the pair of letters will not have an O is:

• $\frac{2}{3}$

• $\frac{1}{2}$

• $\frac{1}{3}$

• $\frac{1}{9}$

• $\frac{5}{9}$

The sets A and B are known to be mutually exclusive. Which of the following is therefore true?

• P(A) = P(B)

• P(A and B) = 0

• P(A) = 0

• P(A and B) = 1

• P(A or B) = 0

For this tree diagram, what is the probability of the outcome (B, R)?

• $\frac{1}{5}$

• $\frac{3}{10}$

• $\frac{3}{7}$

• $\frac{1}{10}$

• $\frac{6}{11}$

For this two-way table, P (A and B) is:

• $\frac{2}{3}$

• $\frac{1}{4}$

• $\frac{1}{7}$

• $\frac{1}{3}$

• $\frac{2}{7}$

For this Venn diagram, P (A|B) is:

• $\frac{5}{7}$

• $\frac{5}{2}$

• $\frac{5}{8}$

• $\frac{5}{3}$

• $\frac{3}{11}$