# Question

A certain gym teacher has a class of 20 students. He wants to divide them into four teams of five students each in order to have a class basketball tournament.

(a) How many different ways can he divide the class into four teams?

(b) Tommy and Bobby are two of the students in the class and are best friends. Assuming the gym teacher assigns students in a completely random fashion, what is the probability that they get selected to be on the same team?

(c) Neither boy wants to be on a team with the class bully, Frank. What is the probability that neither Tommy nor Bobby are on the same team as Frank?

(a) How many different ways can he divide the class into four teams?

(b) Tommy and Bobby are two of the students in the class and are best friends. Assuming the gym teacher assigns students in a completely random fashion, what is the probability that they get selected to be on the same team?

(c) Neither boy wants to be on a team with the class bully, Frank. What is the probability that neither Tommy nor Bobby are on the same team as Frank?

## Answer to relevant Questions

Manufacturer X produces personal computers (PCs) at two different locations in the world. Fifteen percent of the PCs produced at location A are delivered to a retail outlet defective, while five percent of the PCs produced ...An experiment consists of selecting two integers (n, k) such that 0 ≤ n < 5 and 0 ≤ n < 10. (a) How many outcomes are in the sample space? (b) What fraction of the outcomes in the sample space satisfy n > k? (c) What ...A possible outcome of an experiment is the event A. The probability of this event is p. The experiment is performed n times, the outcome of any trial is not affected by the results of the previous trials. Define a random ...In a digital communication system, a block of data bits is mapped into an - bit codeword that typically contains the information bits as well as n – k redundant bits. This is known as an (n, k) block code. The redundant ...(Adapted from the mini-game “ Hide and Go Boom” from Nintendo’s “ Mario Party 4”) In this game, 1 player competes against 3 other players. Players 2, 3, and 4 independently select one of four slots (labeled A, B, ...Post your question

0