Brenda the brave sets to climb a mountain which is 12,000 feet high. She plans to climb 3000 feet each day, before taking overnight rest. A mischievous mountain sprit, however decides to test Brenda's resolve. Each night, Brenda's sleeping bag, with her soundly sleep in it, is magically moved 2000 feet back down the mountain, so tht when Brenda awakes in the mourning she finds herself only 1000 feet higher than she was the morning before ! No one to give up. Brenda eventually succeeds, but how many days does it take her to reach the summit?

  10 days

Step-by-step explanation:

On day 1, Brenda reaches 3000 ft.

On day 2, Brenda reaches 4000 ft, having had to start from 1000 ft.

On day 3, Brenda reaches 5000 ft, having had to start from 2000 ft.

...

On day 10 Brenda reached 12000 ft, having had to start from 9,000 ft.

Brenda reaches a height that is 1000·(day+2).

It takes Brenda 10 days to reach the 12,000 ft summit.

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw