91Ó°ÊÓ

Find the sum of the finite arithmetic sequence. Sum of the integers from -100 to 30

Find the indicated \(n\)th partial sum of the arithmetic sequence. $$8,20,32,44, . ., ., n=10$$

Finding the Probability of a Complement You are given the probability that an event will not happen. Find the probability that the event will happen. $$P\left(E^{\prime}\right)=0.23$$

Finding the Probability of a Complement You are given the probability that an event will not happen. Find the probability that the event will happen. $$P\left(E^{\prime}\right)=0.92$$

Write all combinations of two letters that you can form from the letters \(A, B, C, D\) \(\mathrm{E}_{1}\) and \(\mathrm{F}\). (The order of the two letters is not important.)

Finding the Probability of a Complement You are given the probability that an event will not happen. Find the probability that the event will happen. $$P\left(E^{\prime}\right)=\frac{17}{35}$$

In order to conduct an experiment, researchers randomly select five students from a class of \(20 .\) How many different groups of five students are possible?

Finding the Probability of a Complement You are given the probability that an event will not happen. Find the probability that the event will happen. $$P\left(E^{\prime}\right)=\frac{61}{100}$$

In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?

American roulette is a game in which a wheel turns on a spindle and is divided into 38 pockets. Thirty-six of the pockets are numbered \(1-36,\) of which half are red and half are black. Two of the pockets are green and are numbered 0 and 00 (see figure). The dealer spins the wheel and a small ball in opposite directions. As the ball slows to a stop, it has an equal probability of landing in any of the numbered pockets. (a) Find the probability of landing in the number 00 pocket. (b) Find the probability of landing in a red pocket. (c) Find the probability of landing in a green pocket or a black pocket. (d) Find the probability of landing in the number 14 pocket on two consecutive spins. (e) Find the probability of landing in a red pocket on three consecutive spins.