# Question: Die and Coin Consider the following random experiment First roll

Die and Coin. Consider the following random experiment: First, roll a die and observe the number of dots facing up; then, toss a coin the number of times that the die shows and observe the total number of heads. Thus, if the die shows three dots facing up and the coin (which is then tossed three times) comes up heads exactly twice, then the outcome of the experiment can be represented as (3, 2).

a. Determine a sample space for this experiment.

b. Determine the event that the total number of heads is even.

a. Determine a sample space for this experiment.

b. Determine the event that the total number of heads is even.

## Answer to relevant Questions

From 10 men and 8 women in a pool of potential jurors, 12 are chosen at random to constitute a jury. Suppose that you observe the number of men who are chosen for the jury. Let A be the event that at least half of the 12 ...According to the Congressional Directory, the official directory of the U.S. Congress, prepared by the Joint Committee on Printing, the age distribution for senators in the 109th U.S. Congress is as follows. Age (yr) ...Refer to Exercise 5.69. Use the complementation rule to find the probability that a randomly selected senator in the 109th Congress is Age (yr) No. of senators Under 50 ........... 12 50–59 ........... 33 60–69 ...A certain city has three major newspapers, the Times, the Herald, and the Examiner. Circulation information indicates that 47.0% of households get the Times, 33.4% get the Herald, 34.6% get the Examiner, 11.9% get the Times ...The World Series in baseball is won by the first team to win four games (ignoring the 1903 and 1919-1921 World Series, when it was a best of nine). Thus it takes at least four games and no more than seven games to establish ...Post your question