Probability

Results of a survey of fifty students indicate that 30 like red jelly beans, 29 like green jelly beans, and 17 like both red and green jelly beans. How many of the students surveyed like no green jelly beans? A. 17 B. 38 C. 21 D. 30

30. How many different ways can 6 friends be seated at the movie theater if there are 20 seats in a row and they all want to be on the same row?* *Do not include commas in your answer. ways

Question 6 Provide an appropriate response. A single die is rolled twice. The set of 36 equally likely outcomes is $\{(1,1),(1,2),(1,3),(1,4),(1,5)$, $(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3)$, $(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}$. Find the probability of getting two numbers whose sum is greater than 9 and less than 13 . 0 $\frac{7}{36}$ $\frac{5}{36}$ $\frac{1}{6}$

A bag contains 3 red balls and 2 green balls. If we draw the balls one by one without replacement, what is the probability that the first ball drawn is red and the second ball drawn is green?

You randomly select one card from a 52-card deck. Find the probability of selecting a black seven or a black jack. The probability is (Type an integer or a fraction. Simplify your answer.)

You are to randomly pick one disk from a bag that contains the disks shown below. Find $\mathrm{P}$ (yellow|star), the probability of picking a disk that is yellow, given that the disk has a star. Find $\mathrm{P}$ (yellow|star). $\mathrm{P}($ yellow $\mid$ star $)=$ (Simplify your answer.)

A bag contains 4 red balls, 6 blue balls and 5 green balls. Two balls are drawn randomly without replacement. What is the probability that one ball is red and the other is blue? Are these two events independent?

The following data represent the number of different communication activities used by a random sample of teenagers in a given week. Complete parts (a) through (d). $\begin{array}{lcccccc}\text { Activities } & \mathbf{0} & \mathbf{1 - 2} & \mathbf{3 - 4} & \mathbf{5 +} & \text { Total } \square \\ \text { Male } & 22 & 81 & 60 & 37 & 200 \\ \text { Female } & 22 & 51 & 56 & 71 & 200 \\ \text { Total } & 44 & 132 & 116 & 108 & 400\end{array}$ (a) Are the events "male" and "0 activities" independent? because are $P($ male $)$ and $P(0$ activities) $P$ (male) and $P($ male $\mid 0$ activities) $P(0$ activities) and $P($ male $\mid 0$ activities)

You are dealt one card from a 52-card deck. Find the probability that you are dealt a five or a black card The probability is (Type an integer or a fraction. Simplify your answer.)

In a city, 5% of people have a certain disease (D) and 95% do not have the disease (D'). A company develops a test that correctly identifies the disease in 98% of cases (T) and incorrectly identifies the disease in 2% of cases (T'). If a person tests positive, what is the probability that they actually have the disease?

The television show 50 Minutes has been successful for many years. That show recently had a share of 23 , which means, that among the TV sets in use, $23 \%$ were tuned to 50 Minutes. An advertiser wants to verify that $23 \%$ share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a 50 Minutes broadcast. the probability that at least one household is tuned to 50 Minutes. $P($ at least one $)=$