Compound and Conditional Probability

There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 6 or a multiple of 4?

•  $\frac{4}{15}$  
  

•  $\frac{5}{15}$  

•  $\frac{5}{6}$  

•  $\frac{6}{15}$  

A bag of marbles contains 6 blue, 4 green, 2 red, and 4 yellow marbles. What is the probability of pulling a yellow marble and a red marble (without replacement)? Simplify the fraction

• $\frac{1}{32}$

• $\frac{8}{240}$

• $\frac{8}{256}$

• $\frac{1}{30}$

A number cube is rolled twice. What is the probability of getting a 6 on the first roll and then a number less than 5 on the second roll?

• $\frac{2}{3}$

• $\frac{5}{36}$

• $\frac{1}{36}$

• $\frac{4}{36}$

There are 130 students in a school, 25 freshman, 30 sophomores, 45 juniors, and 30 seniors. What is the probability a students pulled to the office is a junior or a freshman? Simplify the fraction

• $\frac{70}{130}$

• $\frac{45}{130}$

• $\frac{7}{13}$

• $\frac{25}{13}$

You have a bag of 17 marbles. 4 are blue, 6 are green, 2 are red, and the others are yellow. What is the probability of drawing a red marble, putting it back, and then drawing a green marble?

• $\frac{12}{272}$

• $\frac{3}{68}$

• $\frac{12}{289}$

• $\frac{12}{68}$

You roll a six sided die twice. What is the probability of rolling an even number and a 5? Simplify the fraction

• $\frac{3}{36}$

• $\frac{1}{12}$

• $\frac{2}{36}$

• $\frac{1}{3}$

Find the probability of a randomly selected student passing the test, given that the student did not study.

• $\frac{12}{13}$

• $\frac{1}{13}$

• $\frac{1}{15}$

• $\frac{14}{15}$

What is the probability that a randomly selected student studied for the test, given they passed the test?

• $\frac{1}{13}$

• $\frac{12}{13}$

• $\frac{12}{15}$

• $\frac{12}{30}$

What is the probability that a student is against the proposal, given they are a girl?

• $\frac{30}{45}$

• $\frac{30}{35}$

• $\frac{5}{45}$

• $\frac{5}{55}$

What is the probability that a students is a boy, given they have no opinion on the proposal?

• $\frac{10}{100}$

• $\frac{5}{15}$

• $\frac{10}{55}$

• $\frac{10}{15}$