the probability that a team will win a game is always 0.5.
The team plays 'n' games.
The probability that the team will win all of the 'n' games is less than 0.05.
Find the smallest value of 'n'
2007-01-20 05:09:02 · 4 answers · asked by jenny 1 in Science & Mathematics ➔ Mathematics
probability = 0.5^n
n=1 p =.5
n=2 p =.25
n=3 p =.125
n=4 p =.0625
n=5 p =.03625
thats your answer...
alternatively,you can take log and solve ..
0.5^n < 0.05
2007-01-20 05:26:12 · answer #1 · answered by Sandeep K 3 · 1⤊ 0⤋
The probability of winning 4 games is 0.0625
The probability of winning 5 games is 0.03125
Therefore the smallest value of n is 5 as this is when the probability drops below 0.05
2007-01-20 13:17:44 · answer #2 · answered by Matt I 1 · 1⤊ 0⤋
n=5
(1/2)^4 = 0.06250
(1/2)^5 = 0.03125
So, the probability goes below 0.05 at the fifth game.
2007-01-20 13:18:49 · answer #3 · answered by VFBundy 6 · 1⤊ 0⤋
well work down...
1=.5
2=.25
3=.125
4=.0625
5=.03125
so the answers 5
2007-01-20 19:04:37 · answer #4 · answered by Anonymous · 0⤊ 0⤋