Consider a spinner with six equal sectors, labelled sequentially by every one of the numbers from the set {2,3,5,6,7,8}{2,3,5,6,7,8}. Suppose the spinner is spun twice, answer the following questions. Enter answers as decimal numbers rounded to three decimal places. How many equally likely events are in the sample space? How many events consist of even numbers as the result of both spins? What is the probability that the second spin yields a smaller number than the first spin?

1. You are going to ask people if they like ice cream, recording the answer Yes or No. You are going to ask until someone says Yes or you have asked four people. Write out the sample space for this random phenomenon.

Question 1Suppose we have an experiment that consists of flipping a coin 5 times.i. Find the total number for the outcomes for this experiment? ii. List all the elements in the sample space?iii. Find the probability that tails will be occurring at least 2 times on three coin flips?iv. Find the probability of getting all Head and all Tail on five coin flips?Question 2A bag has 10 blue balls and 5 red balls. 2 balls are to be drawn successively and without replacement. What is the probability that the first ball is red and the second is blue?Question 3Two coins are loaded so that each comes up heads 80% of the time when tossed. If the coins are both tossed simultaneously, i. What probability will the result be both are Tail?ii. What probability will the result give Head and Tail?

2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:

A sample space contains seven simple events: E,, E,, ..., E,. Use the following three events-A, B, and C. B = {E, E, E, E;} c={E, E;} A = 4' List the simple events in the following. (Enter your answers as a comma-separated list.) not A

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ gbb, gbg,​ ggb, ggg}. After identifying the sample space for a couple having four​ children, find the probability of getting onegirland threeboys (in any order).   A. Identify the sample space for a couple having four children. ? (Use a comma to separate answers as​ needed.) B. Find the probability of getting one girl and three boys (in any order)? ​(Typean integer or a decimal. Do not​ round.)

the sample space listing the eight sample events that are possible when a couple has a 3 children is?

A coin is flipped once. If the result is a heads, the coin is flipped 2 more times, and the result (heads or tails) of each successive flip is noted. If the result is a tails, the coin is flipped 3 more times and the result of each successive flip is noted. How many possible outcomes are in the sample space of this experiment?