I have cringe martial innovation and format left in my word box

I don't expect you to be a hero but do you have to ____ in that cowardly fashion whenever someone disagrees with you
cringe?

During the war years the government tried by all kinds of propaganda to arouse the ___ spirit of the people
martial?

9 answers

Both are correct.
Frank Lloyd Wright was a great American architect who was responsible for many ____ in the deisgn of buildings
format?

We plan to change the ____ of our school magazine to make it more attractive and readable
innovation?
You have these last two turned around.

responsible for many innovations . . .

change the format . . .
Thank you Ms. Sue! I got confused for those two.
You're welcome, Jerald.
Hallie is trying to win the grand prize on a game show. Should she try her luck by spinning a wheel with 6 equal sections labeled from 1 to 6 and hope she gets a 5, or should she roll two number cubes and hope she gets the same number on both cubes? Explain.
Assuming that all the numbers on each cube are equally likely to show up, the probability of getting a 5 on the wheel is 1/6, since there is only 1 section out of 6 that is labeled with a 5. The probability of getting the same number on both number cubes is 1/6, since there is only 1 combination out of 6 x 6 (or 36) possible combinations where both cubes show the same number (e.g. 1-1, 2-2, 3-3, etc.). Therefore, the odds of winning are the same for both options.

In other words, Hallie's chances of winning the grand prize are equally good regardless of whether she spins the wheel for a 5 or rolls two number cubes for matching numbers. It's up to her personal preference which game she wants to play.
A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn.

What is the probability of selecting a purple marble and then a white marble?
What is the probability of selecting two white marbles?
Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.
To solve:

First marble:
P(purple) = 7/9
P(white) = 2/9

Second marble (after one is drawn and removed):
If the first marble is purple, there would be 6 purple marbles left and 2 white marbles left.
If the first marble is white, there would be 7 purple marbles left and 1 white marble left.

Probability of selecting a purple marble and then a white marble:
P(purple) × P(white | purple) = (7/9) × (2/8) = 7/36

Probability of selecting two white marbles:
P(white) × P(white | white) = (2/9) × (1/8) = 1/36

To compare the probability of selecting two white marbles in a row versus two purple marbles in a row, we can calculate both probabilities and compare them.

Probability of selecting two purple marbles:
P(purple) × P(purple | purple) = (7/9) × (6/8) = 7/12

Therefore, the probability of selecting two white marbles in a row is lower than the probability of selecting two purple marbles in a row. Thus, there is a greater chance of selecting two purple marbles in a row.