SOLUTION: a bag contains five balls numbered 1,2,3,4,5.Another bag contains six balls numbred1,2,3,4,5,6.One ball is drawn at random from each ball.Find the probability that (i) both balls h

Question 300305: a bag contains five balls numbered 1,2,3,4,5.Another bag contains six balls numbred1,2,3,4,5,6.One ball is drawn at random from each ball.Find the probability that (i) both balls have the same number.(ii) the sum of the numbers on the balls is 9.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Make a table.
Bag 1 Bag 2 Sum
1 1 2
1 2 3
1 3 4
1 4 5
1 5 6
.
.
.
5 1 6
5 2 7
5 3 8
5 4 9
5 5 10
5 6 11
i) Then count the total number of outcomes.
There are 30 in all (5x6).
Then count the times that the ball from Bag 1 is the same as Bag 2.
There are 5 of those (1-1,2-2,3-3,4-4,5-5).
So the probability of two balls identical is
P=5/30=1/6
ii) Count the number of sums that equal 9.
There are 3 outcomes (3-6,4-5,5-4).
There are 30 total outcomes.
P=3/30=1/10
RELATED QUESTIONS
A bag contains five balls, numbered 1, 2, 3, 4 and 5. Another bag contains six balls... (answered by greenestamps)

A bag contains five balls numbered 1,2,3,4,5. Another bag contains six balls numbered... (answered by stanbon)

A bag contains 4 white and 2 black balls. Another bag contains 3 white and 3 black balls. (answered by Edwin McCravy)

A bag contains 7 red balls numbered {2, 4, 5, 6, 7, 8, 10} and 3 white balls numbered {1, (answered by Fombitz)

One bag contains 5 blue balls and 4 green balls. A second bag contains 2 blue balls and 5 (answered by Boreal)

Hi! I need help with a probability question: You have three bags. Bag 1 contains... (answered by edjones)

combination one bag contains 6 white balls and 8 black, and a second bag contains 3... (answered by Boreal)

One bag contains 4 white balls and 3 black balls and a second bag contains 3 white balls (answered by robertb)