Construct the probability distribution for the length of the longest run of heads when a coin is tossed one, two, three, four, five, and six times. For example, when a coin is tossed two times, the possible outcomes are HH, HT, TH, and TT.
The longest run of heads in these outcomes are 2, 1, 1, and 0, respectively. The probability distribution for the longest run of heads is as follows:
|
Longest run of heads
|
Probability
|
|
0
|
¼
|
|
1
|
2/4
|
|
2
|
¼
|