Question 188128
Should I use a venn diagram? Tree? Any suggestions to get me going would be greatly appreciated. If i can work this problem I'll be fine on the test so I'm told.
"Toward the middle of the harvesting season, peaches for canning come in three types: earlies, lates and extra lates. Depending of the expected date of ripening. During a certain week, the following data was recorded at a fruit delivery station: 34 trucks went out carrying early peaches; 61 had late peaches; 50 had extra lates; 25 had earlies and lates; 30 had lates and extra lates; 8 had earlies and extra lates; 6 had all three; 9 had only figs (no peaches at all)."
-----------------------
Use a Venn Diagram.
Draw three intersecting circles inside a rectangle: earlies(34) ; lates(61); extra lates(50)
Put a 9 in the rectangle but outside all the circles.
-----------
Put a 6 where all three circles intersect. Do this 1st then work you way
outward from that center.
The intersection of lates and extra lates has 30 but 6 are in the center
so put 30-6 = 24 in the remaining area of the intersection of lates and
extra lates. 
----
Can you fill out the rest of the sections of the three circles???
=====================================================================
How many trucks had only late variety peaches? 
Ans: 12
-----------------
How many had only extra lates? 
Ans: 18
-----------------
How many had only one type of peach?
Ans: 37
---------- 
How many trucks in all went out during the week?
Ans: 97 
-------------------- 
You are in charge of distribution for a national fruit and vegetable company. On any given day in the middle of the harvesting season, what is the probability that you will encounter a delivery truck which contains only one type of peach?
Ans: 37/97
=======================
Let me know if you disagree.
=======================
Cheers,
Stan H.