Probability Questions & Answers

What is the probability of not rolling a number greater than 2 on a regular die?

What is the probability of not rolling a two on a regular die?

If the probability of an event occurring is \( \frac{9}{10} \), what is the probability of the event not occurring?

Suppose that a certain college class contains 54 students. Of these, 30 are juniors, 34 are physics majors, from the class. (a) What is the probability, that the student is both a junior and a physics major? (b) Given that the student selected is a physics major, what is the probability that she is also a junior? Write your responses as fractions. (If necessary, consult a list of formulas.) (a) \( \frac{15}{54} \) (b)

If the probability of an event occurring is \( \frac{3}{8} \), what is the probability of the event not occurring?

Si la probabilidad de que el vapor se condense en un tubo de aluminio de cubierta delgada a 10 atm de presión es de 0.34 , si se prueban 12 tubos de ese tipo y bajo esas condiciones, indique cuáles afirmaciones son ciertas Seleccione las respuestas correcta(s):

27.) A nonprofit organization plans to hold a raffle to raise funds for its operations. A total of 1000 raffle tickets will be sold for \( \$ 1.00 \) each. After all the tickets are sold, one ticket will be selected at random and its owner will receive \( \$ 100.00 \). What is the meaning of the expected value in this context? (A) The ticket owners lose an average of \( \$ 0.10 \) per raffle ticket. (B) Each ticket owner will lose \( \$ 0.88 \) per raffle ticket. (C) The ticket owners lose an average of \( \$ 0.90 \) per raffle ticket. (D) A ticket owner would have to purchase 20 more tickets for the expected value of his or her net gain to increase to \( \$ 0.00 \). (E) A ticket owner has a 95 percent chance of having a ticket that is not selected.

(D) \( \begin{array}{llll}\text { 26.) A blind taste test will be conducted with } 20 \text { volunteers to determine whether people can taste a difference } \\ \text { between bottled water and tap water. Each participant will taste the water from two different glasses and then } \\ \text { identify which glass he or she thinks contains the tap water. Assuming that people cannot taste a difference } \\ \text { between bottled water and tap water, what is the probability that at least } 15 \text { of the } 20 \text { participants will correctly } \\ \text { identify the tap water? } \\ \begin{array}{llll}\text { (A) } 0.7597 & \text { (B) } 0.0207 & \text { (C) } 0.2403 & \text { (D) } 0.4073\end{array}\end{array} \begin{array}{l}\text { (E) } 0.5927\end{array} \)

A bowl contains 23 purple, 20 tiger's eye, and 1 jasper marbles. You reach in without looking and pull out two marbles, one after the other. What's the probability that you pulled out: (Write all answers as a decimal rounded to at least 4 decimal places.) a) Two tiger's eye marbles? b) First a purple and then a jasper marble? c) A jasper marble second given that the first marble was tiger's eye? d) A purple marble first given that the second marble was jasper?

ccording to the Center for Disease Control (CDC), \( 46.8 \% \) of Americans get a flu shot each season. What is the probability that 3 randomly selected Americans get a flu shot? Round your answer to 4 decimal places.