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A red die is tossed and then a green die is tossed. What is the probability that the red die shows a six or the green die shows a six?

Respuesta :

Answer:

11/36

Step-by-step explanation:

If there are 6 numbers on a die, and there is only one 6, there is 1/6 chance it will land on 6. But there are two die, so the probability is 2/6, or 1/3. But, since they are mutually exclusive, you have to subtract the probability that they will BOTH land on 6, which is 1/36.

1/3 -1/36 = 11/36

The probability that the red die shows a six or the green die shows a six is 11/36.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Lets consider that each of the 6 numbers has an equal probability of showing up for each die.

The probability of obtaining a six from the red die is 1/6,

P(6 from the red die) = 1/6.

Similarly,

P(6 from the green die) = 1/6.

The tossing of the red die, by the tossing of the green die are independent events.

Therefore,

P(6 from the red die AND 6 from the green die) = (1/6)*(1/6) = 1/36.

So, 1/3 - 1/36 = 11/36

Learn more about probability here;

https://brainly.com/question/11234923

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