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
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