A certain provincial park has 220 campsites. A total of 80 sites have electricity. Of the 52 sites on the lakeshore, 22 of them have electricity. If a site is selected at random, what is the probability that
a) it will be on the lakeshore?
b) it will have electricity?
c) it will either have electricity or be on the lakeshore?
d) it will be on the lakeshore and not have electricity?
2007-07-14 09:34:31 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
a. P(L)
= 52 / 220
= 13 / 55
b. P(E)
= 80 / 220
= 4 / 11
c. P(E U L) = P(E) + P(L) - P(E & L)
= 80/220 + 52/220 - 22/220
= 110 / 220
= 1 / 2
d. Number on the lakeshore without electricity : 52 - E&L
= 52 - 22 = 30
So 30/220
= 3 / 22
2007-07-14 09:40:29 · answer #1 · answered by whitesox09 7 · 1⤊ 1⤋
(a) There are a total of 220 campsites.
Prob at lakeshore = 52 / 220= 13 / 55 (simplified)
(b) There are 80 sites w/ elec.
P(has elec.) = 80 / 220 = 4 / 11
(c)
P(lakesh. or elec) = P(lakesh.) + P(elec) - P(lakesh AND elec)
= 13/55 + 4/11 - 22/220 = 1/2
(d) 30 sites on lakeshore don't have elec.
P = 30 / 220 = 3 / 22
2007-07-14 16:44:14 · answer #2 · answered by www.tutor-homework.com 3 · 3⤊ 0⤋
I concur with kyle, except technically I would simplify for best practice, as follows:
a) 52/220 = 13/55
b) 80/220 = 4/11
c) 110/220 = 1/2
d) 30/52 = 15/26
Not always makes a lot of difference, but it looks a little neater ;) (Sorry, I submitted this before noticing the comment above regarding you doing something yourself).
2007-07-14 16:47:32 · answer #3 · answered by Luke B 2 · 0⤊ 2⤋
total = 220
elec = 80
shore = 52
shore + elec = 22
shore - elec = 30
-shore + elec = 58
a. 52/220 = .236
b. 80/220 = .364
c Question is ambiguous
(52+58)/220 = 110/220 = .500 (it will have at least one of the two amenities)
OR (58+30)/220 = 88/220 = .400 (it will have one, but not both)
d. 30/220 = .136
2007-07-14 16:44:01 · answer #4 · answered by Steve A 7 · 0⤊ 1⤋
a) lakeshore/total --- 52/220
b) electricity/total --- 80/220
c) lakeshore/total + electricity/total - lakeshore with electricity/total --- 52/220 + 80/220 - 22/220
d) lakeshore without electricity/total --- (52-22)/220
I am guessing this is homework so I suggest simplifying it yourself because that is a pretty crucial skill.
2007-07-14 16:43:45 · answer #5 · answered by firefly 3 · 2⤊ 1⤋
A. 52 out of 220 or ~24%
B. 80 out of 220 or ~36%
C. 88 out of 220 or 40%
D. 30 out of 220 or ~14%
(part divided by whole)
2007-07-14 17:01:03 · answer #6 · answered by ♫Choir_Girl♪ 3 · 0⤊ 1⤋
a) 52/220=13/55
b) 80/220=4/11
c) 88/220=22/55
d) 30/220= 3/22
I think
2007-07-14 16:48:42 · answer #7 · answered by Anonymous · 0⤊ 2⤋