Question

There is 60% chance that it will rain today. If it rains, the probability of watching a movie is 0.5. But, if it does not rain then the probability of watching a movie is 0.3. What is the probability of watching a movie today?​

Answer 1

Applying the given probabilities, it is found that there is a 0.42 = 42% probability of watching a movie today.

These following probabilities involve a movie being watched today:

• 0.5 of 0.6(if it rains today).

• 0.3 of 1 - 0.6 = 0.4(if it does not rain today).

Hence, adding them:

$p = 0.5(0.6) + 0.3(0.4) = 0.3 + 0.12 = 0.42$

0.42 = 42% probability of watching a movie today.

A similar problem is given at brainly.com/question/14398287