[Probability] – A tree diagram problem

• Oct 11th 2008, 05:32 AM
geton
[Probability] – A tree diagram problem
A certain statistician’s breakfast consists of either some cereal or toast (but not both) to eat and one drink from a choice of fruit juice, tea or coffee. If he has cereal to eat, the probability that he chooses coffee is 3/5 and the probability he chooses tea is 3/10. If he has toast to eat, the probability he chooses coffee is 2/5 and the probability he chooses tea is 1/5.
Given that he has cereal with probability ¾.

(a) find the probability that on any particular day he has
(i) fruit juice (ii) cereal & coffee.

(b) Find his most popular breakfast combination.

I draw a tree diagram like this.
http://www.mathhelpforum.com/math-he...1&d=1223731835
Is it right? If wrong then how could I draw this?

Then now what to do?
• Oct 11th 2008, 01:22 PM
mr fantastic
Quote:

Originally Posted by geton
A certain statistician’s breakfast consists of either some cereal or toast (but not both) to eat and one drink from a choice of fruit juice, tea or coffee. If he has cereal to eat, the probability that he chooses coffee is 3/5 and the probability he chooses tea is 3/10. If he has toast to eat, the probability he chooses coffee is 2/5 and the probability he chooses tea is 1/5.
Given that he has cereal with probability ¾.

(a) find the probability that on any particular day he has
(i) fruit juice (ii) cereal & coffee.

(b) Find his most popular breakfast combination.

I draw a tree diagram like this.
http://www.mathhelpforum.com/math-he...1&d=1223731835
Is it right? If wrong then how could I draw this?

Then now what to do?

Your tree diagram is correct. Where are you stuck using it? For (b), use it to find the combination that has the largest probability.
• Oct 11th 2008, 05:15 PM
geton
Quote:

Originally Posted by mr fantastic
Your tree diagram is correct. Where are you stuck using it? For (b), use it to find the combination that has the largest probability.

Thanks I got it.