Recent content by starsuck

here is the question. Researchers want to construct a scattering experiment using a powerful source of 5.5 MeV alpha-particles to scatter from a gold foil. They want to be able to count 1 particle/s at 50 degree. Their detector subtends a small angle and is limited to a maximum count rate of...

if one six is thrown 8 times, there will be 6*6*6*6*6*6*6*6, but I do not know how to get 2 consecutive of 6's.

As an example, if there are 7 bananas, 6oranges, distributed to 4 children, such that each child gets at least 1 banana. in how many ways? ans: (4+3-1)/3 * (4+6-1)/6

there is no specific formula that I need to use.. For question 2, I think I am able to use this formula though (n+r-1)/r I have no idea how to apply this formula into that question. please help me out here!

1. Alice rolls an ordinary six-sided die 8 times in succession, and the numbers are recorded (in order). How many possible outcome sequences contain exactly two occurrences of "6" Briefly explain your answer. 2.Bob tosses a coin 20 times and gets 13 heads and 7 tails. In how many ways can...