A dresser contains 8 white shirts, 3 blue shirts, and 2 red shirt. What is the probability that you will select at random a white shirt for Monday and a blue shirt for Tuesday?
24/169
2/13
24/156
12/136
I don't understand how to do this?
2007-01-14 08:33:00 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
This is called a conditional probability problem.
There are a total of 8+3+2 = 13 shirts.
The probability of a white shirt is 8/13 (It's just the number of white shirts divided by the total number of shirts).
Now I will assume that laundry was not done. There will only be 12 shirts left (because you wore one on Monday).
There are still 3 blue shirts remaining.
Probability of a blue shirt on Tuesday, given that you wore a white shirt on Monday = 3/12 = 1/4
Answer: (8/13)(1/4) = 2/13
2007-01-14 08:38:39 · answer #1 · answered by MsMath 7 · 5⤊ 0⤋
The probability of selecting the white shirt is 8/13 (8 shirt, 13 possibilities). The probability of the blue shirt is 3/12. Therefore the probability of both events is 8/13 * 3/12 = 24/156 = 2/13
2007-01-14 16:41:07 · answer #2 · answered by LoneWolf 3 · 1⤊ 0⤋
The chances of picking a white shirt for Monday is 8/13
The chances of picking a blue shirt for Tuesday is 3/12
Therfore total odds are 24/156 = 2/13.
2007-01-14 16:52:23 · answer #3 · answered by ironduke8159 7 · 1⤊ 0⤋
first thing you have to figure out is what the probability of choosing a white shirt on Monday.
so the probability of white shirts on Monday is
Total Amount of White Shirts / Total Amount of Shirts
8 / 13 = Probability of choosing a White Shirt on Monday
Now we need to find out the probability of choosing a blue shirt on Tuesday. Since we have already chosen a white shirt for Monday, we now have a total of 12 shirts to choose from.
Total Amount of Blue Shirts / Total Amount of Shirts Leftover
3 / 12 = Probability of choosing a Blue Shirt on Tuesday.
Since the word "and" is being used for this conditional probability, we need to multiply both probabilities. If they would have said "or", we would be adding.
8 / 13 * 3 / 12 = 2 / 13
2007-01-14 16:52:26 · answer #4 · answered by OSO 3 · 1⤊ 0⤋
this is called conditional probability. the prob of a white shirt on Monday is 8/13. the prob of a blue shirt on Tues is 3/12. the prob of a blue shirt on Tues AFTER a white shirt on Monday is (8/13)*(3/12) = 8/13 * 1/4 = 8/52 = 2/13.
conditional probability:
event A has prob = pA
event B has prob = pB
the CONDITIONAL probability that B follows A is
pA * pB
2007-01-14 16:58:49 · answer #5 · answered by michaell 6 · 2⤊ 0⤋
You have 8/13 chances for monday, times 3/12 for tuesday. So answer c.
2007-01-14 16:41:25 · answer #6 · answered by gianlino 7 · 1⤊ 0⤋
oh boy i ended up with 2 in 52... darn.
2007-01-14 16:38:47 · answer #7 · answered by MrMonkIsMyIdol 2 · 0⤊ 2⤋