Question

the probability that it is going to rain tomorrow is \\(\frac{1}{7}\\).

what are the odds in favor of it raining tomorrow?

• 1:6
• 1:8
• 2:7
• 1:7

Explanation:

Identify the given probability

Using the Odds to Probability knowledge point

$$ P(\text{rain}) = \frac{1}{7} $$

Determine the probability of the complement event

Using the Odds to Probability knowledge point

$$ P(\text{no rain}) = 1 - P(\text{rain}) = 1 - \frac{1}{7} = \frac{6}{7} $$

Calculate the odds in favor

Using the Odds to Probability knowledge point

$$ \text{Odds in favor} = \frac{P(\text{rain})}{P(\text{no rain})} = \frac{1/7}{6/7} = \frac{1}{6} \implies 1:6 $$

Answer:

• (A) 1:6 (Correct answer)
• (B) 1:8
• (C) 2:7
• (D) 1:7