Question

A 12-sided die is rolled, and a spinner with 5 equal sections, including red, yellow, blue, blue, and purple, is spun.

If the probability of rolling an even number and spinning a yellow is 0.1, are the two events independent? Justify the conclusion mathematically.

The events are not independent because (0.5)(0.2) = 0.1.
The events are independent because (0.5)(0.2) = 0.1.
The events are not independent because (0.25)(0.4) = 0.1.
The events are independent because (0.25)(0.4) = 0.1.

Answer 1

To determine if two events are independent, we need to check if the probability of both events happening is equal to the product of their individual probabilities.

Answer 2

Event A as rolling an even number on the 12-sided die, which has a probability of 0.5 since there are 6 even numbers out of 12 possible outcomes

Answer 3

Right-

Answer 4

Event B as spinning a yellow on the spinner, which has a probability of 0.2 since there is 1 yellow section out of 5 equal sections

Answer 5

So...B?

Answer 6

The probability of both events happening, denoted as P (A and B), is given 0.1

Answer 7

Therefore, the correct answer is: The events are independent because (0.5)(0.2)=0.1

Answer 8

smart ahh jayden lmaoo

Answer 9

im boutta be brain dead after this😭

Answer 10

dammm but chuu so smartt 😮‍💨

Answer 11

dam w

Answer 12

Oh right thank you jay!