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

Tina randomly selects two distinct

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

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

- Probability PLEASE HELP -
**Reiny**, Thursday, November 24, 2011 at 9:03am
the 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.

## Answer This Question

## Related Questions

- Probability Pþease helpp - Tina randomly selects two distinct numbers from the ...
- stats probability - help please! A IRS auditor randomly selects 3 tax returns ...
- Probability - A man has 3 pennies, 2 nickles, and 3 dimes. If he draws 1 coin ...
- statistics - i have a test tomorrow so i need to know how to do this problem. ...
- Statistics - We are given this table which is Benford law for these questions ...
- math - Regis has a bag with 8 tiles numbered 1 through 8. He randomly draws one ...
- math - sam, pam, ken, and jen wrote each of their names on a slip of paper and ...
- statistics - An IRS auditor randomly selects 3 tax returns from 58 returns of ...
- STATS - An IRS auditor randomly selects 3 tax returns from 55 returns of which ...
- Statistics - An IRS auditor randomly selects 3 tax returns from 59 returns of ...

More Related Questions