Question

There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the probability that it will rain tomorrow and the volleyball game will be postponed?
14%
35%
50%
90%

Answer 1

Answer:

The correct option is A. 14%

Step-by-step explanation:

There is a 70% chance of rain tomorrow

⇒ The probability that it will rain tomorrow = 0.7

There is a 20% chance that the volleyball game will be postponed

⇒ The probability that the volleyball game will be postponed = 0.2

Now, We need to find the probability that it will rain tomorrow and the volleyball game will be postponed

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = Probability that it will rain × Probability that the volleyball game will be postponed

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.7 × 0.2

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14 × 100

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 14%

Thus, the correct option is A. 14%