Coin flipping

[StatsH]

A coin is weighted so chances of heads is 0.60 and the chances of tails is 0.40. The coin's tossed six times and the the number of heads out of six is recorded. This is repeated 200 times. Which of the following is the most likely distribution of the results?


Heads 0 1 2 3 4 5 6
Number 28 28 29 29 29 29 28

Heads 0 1 2 3 4 5 6
Number 40 28 12 11 13 35 61
b
Heads 0 1 2 3 4 5 6
Number 10 18 22 28 30 44 48

Heads 0 1 2 3 4 5 6
Number 1 6 27 57 65 33 9

Heads 0 1 2 3 4 5 6
Number 0 0 5 78 84 31 2

Any help would be appreciated...thank you :-)

[Mean Joe]

Find the probability of 0 heads, 1 head, 2 heads, ..., 6 heads. Then multiply by 200.

For example, the probability of 2 heads = .6^2 * .4^4 * 6!/(2!4!)
where .6^2 is the probability of getting 2 heads, and .4^4 is the probability of getting (since you're doing 6 flips) 4 tails, and 6!/(2!4!) is the number of orderings of 2 heads & 4 tails; in 6 flips, the number of orderings of H heads = 6!/(H! (6-H)!)