posted by .

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 ?

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.

## Similar Questions

1. ### stats probability

help please! A IRS auditor randomly selects 3 tax returns from 53 returns of which 13 contain errors. what is the probability that she selects none of those errors?
2. ### statistics

i have a test tomorrow so i need to know how to do this problem. help me please!! A IRS auditor randomly selects 3 tax returns from 53 returns of which 13 contain errors. what is the probability that she selects none of those errors?
3. ### statistics

An IRS auditor randomly selects 3 tax returns from 58 returns of which 8 contain errors. What is the probability that she selects none of those containing errors?
4. ### Probability Pþease helpp

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 …
5. ### Data mangement

Mark selects one card randomly from a standard deck of cards. What is the probability that he will select either an even number or a heart?
6. ### calculus

Robin randomly selects a number between 1 and 20. What is the probability that the number selected is the square of a natural number?
7. ### math

sam, pam, ken, and jen wrote each of their names on a slip of paper and placed them in a bowl.Sam was the first to randomly select a name from the bowl. What is the probability that he will select his own name?
8. ### Statistics

We are given this table which is Benford law for these questions they are used for filling your taxes: k= p(X=k) 1 0.301 2 0.176 3 0.125 4 0.097 5 0.079 6 0.067 7 0.058 8 0.051 9 0.046 1.) If you select two numbers randomly from any …
9. ### math

Regis has a bag with 8 tiles numbered 1 through 8. He randomly draws one tile from the bag without looking.Which of the following decribes a likely outcome?
10. ### Probability

A man has 3 pennies, 2 nickles, and 3 dimes. If he draws 1 coin randomly then replaces it and selects again randomly. What is the probability of getting less than 10 cents if his 1st draw was a penny?

More Similar Questions