Answer:
a) Probability = 4/9
b) Probability = 6/9
Step-by-step explanation:
<h3>
Data Given:</h3>
Bill and Ben each have three cards 4,5 and 6. They each take one of their own cards. Then they add together the two numbers on the cards.
<h3>
Find all the possibilities:</h3>
Bill = {4, 5, 6}
Ben = {4, 5, 6}
If both of them take one card, all possibilities are:
{ (4,4) , (4,5) , (4,6) , (5,4) , (5,5) , (5,6) , (6,4) , (6,5) , (6,6) }
Total No. of possibilities = 9
<h3 /><h3>a) What is the probability that their answer is an odd number?</h3>
We see from the all possibilities listed above that which one of them has a sum of odd number. We get:
{ (4,5) , (5,6) , (5,6) , (6,5) }
Total No. of Desired outcomes = 4
Total No. of possibilities = 9
Probability = Total No. of Desired outcomes/Total No. of possibilities
Probability = 4/9
<h3>
b) What is the probability that their answer is a number less than 11?</h3>
We see from the all possibilities listed above that which one of them has a sum less than 11. We get:
{ (4,4) , (4,5) , (4,6) , (5,4) , (5,5) , (6,4) }
Total No. of Desired outcomes = 6
Total No. of possibilities = 9
Probability = Total No. of Desired outcomes/Total No. of possibilities
Probability = 6/9
