Year 10 Probability Quiz

Suppose that the probability of snow tomorrow is 0.35. The probability of no snow tomorrow is:

• 0

• 0.2

• 0.35

• 0.60

• 0.65

Suppose that a class consists of 15 students who travelled to school by car that day, 10 who travelled by public transport, and 5 students who walked. The probability that a student randomly chosen from the class travelled to school by public transport that day is:

• $\frac{1}{6}$

• $\frac{1}{3}$

• $\frac{1}{5}$

• $\frac{1}{4}$

• $\frac{1}{2}$

Suppose that a card is chosen at random from a well-shuffled deck of 52 playing cards. The probability that the card is neither a heart nor a queen is:

• $\frac{1}{4}$

• $\frac{1}{13}$

• $\frac{17}{52}$

• $\frac{4}{13}$

• $\frac{9}{13}$

Suppose that the probability that a student in a certain school studies French is 0.7, the probability that a student studies German is 0.4, and that these events are independent. The probability that a student studies French and German is:

• 0.28

• $\frac{4}{7}$

• 0.4

• 0.7

• 0.82

Suppose that the probability that a student in a certain school studies French is 0.7, the probability that a student studies German is 0.4, and that these events are independent. The probability that a student studies at least one language is:

• 0.28

• $\frac{4}{7}$

• 0.4

• 0.7

• 0.82

From the Venn diagram, Pr( $A\cap B$ ) is equal to:

•  $\frac{28}{45}$  

•  $\frac{2}{9}$  

•  $\frac{1}{9}$  

•  $\frac{13}{45}$  

•  $\frac{26}{405}$  

From the Venn diagram, Pr( $A\cup B$ ) is equal to:

•  $\frac{28}{45}$  

•  $\frac{2}{9}$  

•  $\frac{1}{9}$  

•  $\frac{13}{45}$  

•  $\frac{26}{405}$  

If for two events A and B, Pr(A) = $\frac{1}{6}$  and Pr(B) = $\frac{1}{3}$  , and A and B are mutually exclusive, then Pr( $A\cup B$ ) is equal to:

• 0

•  $\frac{1}{3}$  

•  $\frac{1}{2}$  

•  $\frac{1}{18}$  

•  $\frac{2}{9}$  

If for two events C and D, Pr(C) = 0.41 and Pr( $C\cap D$ ) = 0.28, and Pr( $C\cup D$  ) = 0.73, then Pr(D) is equal to:

• 0.04

• 0.86

• 0.32

• 0.60

• 0.68

A ten-sided die is rolled twice, and the numbers showing on each roll are noted. The probability that the sum of the two numbers is less than five is closest to:

• 0.04

• 0.10

• 0.07

• 0.05

• 0.06