SOLUTION: A box contains 500 envelopes of which 75 contains P100 cash, 150 contain P25, and 275 contain P10. An envelope may be purchased for P25. What is the sample space for sample space f

Algebra ->  Probability-and-statistics -> SOLUTION: A box contains 500 envelopes of which 75 contains P100 cash, 150 contain P25, and 275 contain P10. An envelope may be purchased for P25. What is the sample space for sample space f      Log On


   



Question 1078012: A box contains 500 envelopes of which 75 contains P100 cash, 150 contain P25, and 275 contain P10. An envelope may be purchased for P25. What is the sample space for sample space for the different amounts of money? Assign probabilities to the sample point and then find the probability that the first envelope purchased contains less than P100.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
75 envelopes with P100
150 envelopes with P25
275 envelopes with P10
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75%2B150%2B275=500
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.
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So the possible values of an envelope is 10, 25, or 100.
P%2810%29=+275%2F500+=11%2F20
P%2825%29=+150%2F500+=3%2F10
P%28100%29=+75%2F500+=3%2F20
So the probability that the first envelope contains less than P100 would be,
P=%28150%2B275%29%2F500=17%2F20