# Question: A success s in Bernoulli trials is often derived from

A success, s, in Bernoulli trials is often derived from a collection of outcomes. For example, an American roulette wheel consists of 38 numbers, of which 18 are red, 18 are black, and 2 are green. When the roulette wheel is spun, the ball is equally likely to land on any one of the 38 numbers. If you are interested in which number the ball lands on, each play at the roulette wheel has 38 possible outcomes. Suppose, however, that you are betting on red. Then you are interested only in whether the ball lands on a red number. From this point of view, each play at the wheel has only two possible outcomes-either the ball lands on a red number or it doesn't. Hence, successive bets on red constitute a sequence of Bernoulli trials with success probability 18 38. In four plays at a roulette wheel, what is the probability that the ball lands on red

a. Exactly twice?

b. At least once?

a. Exactly twice?

b. At least once?

**View Solution:**## Answer to relevant Questions

A previous Arizona state lottery called Lotto is played as follows: The player selects six numbers from the numbers 1-42 and buys a ticket for $1. There are six winning numbers, which are selected at random from the numbers ...Following is a gender frequency distribution for students in Professor Weiss's introductory statistics class. Gender Frequency Male .......... 17 Female ......... 23 Two students are selected at random. Find the ...According to Survey of Graduate Science Engineering Students and Postdoctorates, published by the U.S. National Science Foundation, the distribution of graduate science students in doctorate-granting institutions is as ...Refer to Exercise 5.26. a. In 4000 human gestation periods, roughly how many will exceed 9 months? b. In 500 horse races, roughly how many times will the favorite finish in the money? c. In 389 traffic fatalities, roughly ...What does it mean for two events to be mutually exclusive? For three events?Post your question