Finite Math Probability Question 2

Question

After a genetics experiment on 71 pea plants, the number of plants having certain characteristics were tallied with these results:

 

31 were tall

35 had green peas

45 had smooth peas

14 were tall and had green peas

22had green peas and smooth peas

7 had all three characteristics 

 had none of the characteristics 

 

A) Find the number of plants that were tall and had smooth peas:

 

B) How many plans were tall and had peas that were neither smooth nor green?

 

C) How many plants were not tall but had peas that were smooth and green?

Answer 1

71 total

31 tall, 35 green 14 tall&green

45 smooth, 22 smooth&green

7 were tall,green&smooth

1 not tall, not green, not smooth

draw a Venn diagram

with 3 overlapping circles, one circle for tall, one for green, one for smooth

fill in the areas of overlap

A) Tall & Smooth: 9

B) Tall & Not Smooth or Green: 15

C) Not Tall & Smooth & Green: 15