some probabilty

if the squares of a 8x8 chess board are painted either red or black at random

1)the probability taht not all squares in any column are allternating in color

3)the probability that all the squares in any column are of same color and alternating color in any row

plz help in these q......i m not able to get any head or tail of it[7]

11 Answers

3
Swami Dayal ·

for first one answer is (1-(1/2)7)8

for last one answer is (1/2)63

3
Swami Dayal ·

somebode plz help [2]

19
Debotosh.. ·

just tell me one thing, can the colors in the rows be alternating or is thee any restriction on that also ?

3
Swami Dayal ·

see for the first one colors in the rows can be alternating......nothing metioned in the q on taht front..........

3
Swami Dayal ·

no one ????[2]

3
Swami Dayal ·

anyone

62
Lokesh Verma ·

1)the probability taht not all squares in any column are allternating in color

The number of ways in which all squares in a column are alternating is 2

while the no of ways to fill one column is 28

Hence prob is 2/28

but you want none fo the 8 columns to be alternating

hence (1-1/27)8

62
Lokesh Verma ·

3)the probability that all the squares in any column are of same color and alternating color in any row

The number of ways to do this is 2

the number of ways to fill the whole chess board is 264

so the answer is 2/264 = 1/263

62
Lokesh Verma ·

which other?

3
Swami Dayal ·

oh yeah thanx :)thanx a lot....the problem seems too easy once u get the soln.. :P

3
Swami Dayal ·

actually i din see ur post for 3rd soln....was talking abt that only........thanx

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