Question

He probability that it will rain in Boston tonight is 0.70. The probability that it will rain in Miami tonight is 0.40. The cities are very far from each other, and the rains in them are independent from each-other (independent events).

What is the probability that it will rain in Boston tonight AND it will rain in Miami tonight?

Answer 1

To find the probability that it will rain in both Boston and Miami on the same night, we multiply the individual probabilities of rain in each city. The resulting probability is 0.28 or 28%.

Step-by-step explanation:

The question asks for the probability that it will rain in Boston tonight AND it will rain in Miami tonight, given that the probability of rain in Boston is 0.70 and in Miami is 0.40. To find the probability of both independent events happening, we multiply the probabilities of each event: P(Boston Rain AND Miami Rain) = P(Boston Rain) × P(Miami Rain).

Therefore, the calculation is:

• P(Boston Rain) = 0.70
• P(Miami Rain) = 0.40
• P(Boston Rain AND Miami Rain) = 0.70 × 0.40 = 0.28

The resulting probability that it will rain in both Boston and Miami tonight is 0.28 or 28%.