Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When the contestant picks a box, the chance of each box type for this round is as follows: Type A: 75%, Type B: 20%, and Type C: 5%
The chance of drawing a red marble from Type A is 2%, from Type B is 25%, and from Type C is 98%.
The contestant selects a box and draws a marble. What is the chance of drawing a red marble? (Give the exact decimal answer.)
If the contestant does draw a red marble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places.)

0.114

0.049

Step-by-step explanation:

For the boxes:

Type A - 75% = 0.75

Type B - 20% = 0.2

Type C - 5% = 0.05

For the marbles in each box:

Type A - 2% = 0.02

Type B - 20% = 0.25

Type C - 98% = 0.98

Then you can multiply the chance of drawing each box by the chance of drawing a red marble from that box and add all of those together:

0.75 * 0.02 + 0.2 * 0.25 + 0.05 * 0.98

= 0.015 + 0.05 + 0.049

= 0.114

The specific chance for box Type C is 0.05 * 0.98 = 0.049

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.

probability for j is 1/4

while

a is 1/6