6. Use the following to find each Odds: BBBRRRRQ a) Odds in favor of $$ R $$ b) Odds against $$ Q $$

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To find the odds in favor of an event and the odds against an event, we first need to count the occurrences of each outcome in the given sequence: BBBRRRRQ.

The sequence contains:
- B: 3 occurrences
- R: 4 occurrences
- Q: 1 occurrence

### a) Odds in favor of $$ R $$

The odds in favor of an event are calculated as the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

- Favorable outcomes for $$ R $$: 4 (the number of R's)
- Unfavorable outcomes for $$ R $$: 3 (the number of B's) + 1 (the number of Q's) = 4

Thus, the odds in favor of $$ R $$ are:

$$
\text{Odds in favor of } R = \frac{\text{Number of R's}}{\text{Number of non-R's}} = \frac{4}{4} = 1:1
$$

### b) Odds against $$ Q $$

The odds against an event are calculated as the ratio of the number of unfavorable outcomes to the number of favorable outcomes.

- Favorable outcomes for $$ Q $$: 1 (the number of Q's)
- Unfavorable outcomes for $$ Q $$: 3 (the number of B's) + 4 (the number of R's) = 7

Thus, the odds against $$ Q $$ are:

$$
\text{Odds against } Q = \frac{\text{Number of non-Q's}}{\text{Number of Q's}} = \frac{7}{1} = 7:1
$$

### Summary:
- Odds in favor of $$ R $$: $$ 1:1 $$
- Odds against $$ Q $$: $$ 7:1 $$
- Odds in favor of $$ R $$: $$ 1:1 $$ - Odds against $$ Q $$: $$ 7:1 $$

6. Use the following to find each Odds: BBBRRRRQ a) Odds in favor of \( R \) b) Odds against \( Q \)

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