cannot figure out the probability for the following: A pea plant i=must have exactly on of each of the following pairs of transis: Short(s) or tall(t); round(r) or wrinkled(w)seeds; yellow(y) or green(g)peas; and white(wh) or purple(p) flowers so

A) How many different classifications of pea plants are possible?
B) use a tree diagram to determine all classifications:
C0 If each characteristic is equally likely, find the probability that the pea plant will have round peas.
C0 Determint probability that the pea plant will be short, wrinkled and have yellow or purple flowers.

what is 2^4?

C. 1/2
D. 1/2*1/2*1/2*1/2 I think you misstyped the problem.

A pea plant needs exactly one of each of the following pairs of traits:

Short(s) or tall(t) plant; round(r) or wrinkled(w) seeds; yellow(y) or green(g) peas; and white(wh) or purple(p) flowers.
a) how many different classifications of pea plants are possible?
b) Use a tree diagram to determine all classifications possible.
c) If each characteristic is equally likely, find the probability that the pea plant will have round peas.
d) Determine the probability that the pea plant will be short, have wrinkled seeds, have yellow peas and purple flowers.
Must show all work.

A) To find the number of different classifications of pea plants, we need to multiply the number of options for each pair of traits.

The options for each pair are:
1. Tall (T) or Short (S) - 2 options
2. Round (R) or Wrinkled (W) seeds - 2 options
3. Yellow (Y) or Green (G) peas - 2 options
4. White (WH) or Purple (P) flowers - 2 options

By multiplying the number of options for each pair, we get the total number of possible classifications of pea plants:

2 (Tall or Short) x 2 (Round or Wrinkled) x 2 (Yellow or Green) x 2 (White or Purple) = 2 x 2 x 2 x 2 = 16

Therefore, there are 16 different classifications of pea plants.

B) A tree diagram is a useful tool to visualize all the possible classifications of pea plants.

```
Tall or Short (2)
/ \
Round or Wrinkled (2) / \
/ \ / \
Yellow or Green (2) / \ \
/ \ / \
White or Purple (2) / \ \
/ \ / \
Tall Round Yellow White
1 2 3 4
Tall Round Green White
5 6 7 8
Tall Wrinkled Yellow White
9 10 11 12
Tall Wrinkled Green White
13 14 15 16
```

From the tree diagram, we can determine all 16 classifications of pea plants.

C) To find the probability that a pea plant will have round peas (R), we need to find the number of classifications with round peas and divide it by the total number of possible classifications.

Looking at the tree diagram, 6 out of 16 classifications have round peas.

Therefore, the probability of a pea plant having round peas is 6/16.

C) To determine the probability that a pea plant will be short, wrinkled, and have yellow (Y) or purple (P) flowers, we need to find the number of classifications that meet these criteria and divide it by the total number of possible classifications.

Looking at the tree diagram, there is only one classification that satisfies all the conditions: Tall (T), Wrinkled (W), Yellow (Y), and Purple (P) combination. Therefore, the numerator is 1.

The total number of possible classifications is 16 (as calculated in part A).

Therefore, the probability of a pea plant being short, wrinkled, and having yellow or purple flowers is 1/16.