Saturday

August 30, 2014

August 30, 2014

Posted by **maria** on Thursday, November 24, 2011 at 8:30am.

numbers from the set {1, 2, 3, 4, 5}, and

Sergio randomly selects a number from the set {1, 2, . . . , 10}. The probability that Sergios number is larger than the sum of the two numbers chosen by Tina is ?

- Probability PLEASE HELP -
**Reiny**, Thursday, November 24, 2011 at 9:03amthe number of pairs that Tina could choose is C(5,2) = 10

For each of these, Sergio can choose 10 different numbers

So we have 100 possible ways for Tina to choose 2, and Sergio to choose one number.

We can actually list them

1 2 sum of digits = 3 leaving Sergio to choose 7 larger: prob = 7/100

1 3 sum of digits = 4 leaving Sergio to choose 6 larger: prob = 6/100

1 4 sum of digits = 5 leaving Sergio to choose 5 larger: prob = 5/100

1 5 sum of digits = 6 leaving Sergio to choose 4 larger: prob = 4/100

2 3 sum of digits = 5 leaving Sergio to choose 5 larger: prob = 5/100

2 4 sum of digits = 6 leaving Sergio to choose 4 larger: prob = 4/100

2 5 sum of digits = 7 leaving Sergio to choose 3 larger: prob = 3/100

3 4 sum of digits = 7 leaving Sergio to choose 3 larger: prob = 3/100

3 5 sum of digits = 8 leaving Sergio to choose 2 larger: prob = 2/100

4 5 sum of digits = 9 leaving Sergio to choose 1 larger: prob = 1/100

sum of those probs = 40/100 = 2/5

check my logic on this one.

**Related Questions**

Probability Pțease helpp - Tina randomly selects two distinct numbers from the ...

math - Regis has a bag with 8 tiles numbered 1 through 8. He randomly draws one ...

stats probability - help please! A IRS auditor randomly selects 3 tax returns ...

statistics - i have a test tomorrow so i need to know how to do this problem. ...

statistics - An IRS auditor randomly selects 3 tax returns from 58 returns of ...

Statistics - An IRS auditor randomly selects 3 tax returns from 59 returns of ...

Math - . An IRS auditor randomly selects 3 tax returns from 59 returns of which ...

math - A box contains 4 red pencils, 3 blue pencils, and 3 yellow pencils. What ...

Math - Hi, Can someone help me with this problem? Thank you. Problem: A driver ...

math - sam, pam, ken, and jen wrote each of their names on a slip of paper and ...