Question 1191525
Here's how to break down this probability problem:

**1. Sample Space:**

The sample space consists of all possible pairs of letters, one from each word.  We can represent them as (letter from COBRA, letter from FISH):

S = {(C, F), (C, I), (C, S), (C, H), (O, F), (O, I), (O, S), (O, H), (B, F), (B, I), (B, S), (B, H), (R, F), (R, I), (R, S), (R, H), (A, F), (A, I), (A, S), (A, H)}

There are 5 letters in "COBRA" and 4 letters in "FISH", so the sample space has 5 * 4 = 20 possible outcomes.

**2. Event V (Exactly One Vowel):**

V = {(C, I), (O, F), (O, I), (O, S), (O, H), (B, I), (R, I), (A, F), (A, I), (A, S), (A, H)}

The vowels in "COBRA" are O and A, and the vowel in "FISH" is I.  Event V includes all pairs where one letter is a vowel and the other is a consonant.

**3. Event B (Selecting B from COBRA):**

B = {(B, F), (B, I), (B, S), (B, H)}

This event includes all pairs where the first letter is B.

**4. Event V and B (Exactly One Vowel AND Selecting B):**

V ∩ B = {(B, I)}

This event includes only the outcome where we select B from "COBRA" and I from "FISH".

**5. Event V or B (Exactly One Vowel OR Selecting B):**

V ∪ B = {(C, I), (O, F), (O, I), (O, S), (O, H), (B, F), (B, I), (B, S), (B, H), (R, I), (A, F), (A, I), (A, S), (A, H)}

This event includes all outcomes that are in V, or in B, or in both.  We simply combine the outcomes from the two events, without repeating any outcomes.