Jeffery estimates that's there's a 40% chance he'll eat pizza for dinner, a 60% chance he'll drink cola, and a 30% he'll eat pizza and drink cola. What's the probability of Jeffrey eating pizza, if he drinks cola?

a. 75%
b. 50%
c. 24%
d. 13.33%

Respuesta :

The answer is C. 24%

Answer:

Option C, 24%

Explanation:

Probability  that Jefferey will eat pizza is [tex]24[/tex]%

Probability  that Jefferey will drink cold drink  is [tex]24[/tex]%

Probability  that Jefferey will eat pizza and drink cola  is [tex]30[/tex]%

Here, the probability of jefferey eating a pizza after having cold drink will be given by

Probability of having a cold drink X probability of having pizza

Substituting the given values we get -

[tex]\frac{60}{100} * \frac{40}{100} \\= 0.6 * 0.4\\= 0.24\\[/tex]

This is equal to [tex]24[/tex]%

Hence, option C is correct