A pair of 7 sided dice are tossed. What is the probability that at least one of the dice has a value greater than or equal to 4?

Respuesta :

Answer:

40/49

Step-by-step explanation:

One way to answer this is to ask the opposite question.

What is the probability that neither will show a number 4 or more?

That would mean BOTH have to each be a 3 or less.

For the first die to show 3 or less       -->  probability = 3/7

For the second die to show 3 or less -->  probability = 3/7

For them BOTH to show 3 or less       -->  probability = 3/7 * 3/7 = 9/49

Probability a thing happens + probability it doesn't happen = 1. Always.

Prob(both dice 3 or less) + Prob(at least one die 4 or more) = 1

So, Prob(at least one die 4 or more) = 1 - Prob(both dice 3 or less)

                                                            = 1 - 9/49

                                                            = 49/49 - 9/49

                                                             = 40/49

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The probability of having atleast one dice with a value greater than or equal to 4 is 0.8163

Using a sample space which is attached below :

Recall :

Probability = required outcome / Total possible outcomes

Required outcomes = 40

Total possible outcomes = 7² = 49

The probability of having atleast one dice with a value greater than or equal to 4 will be :

Probability = 40 / 49 = 0.8163

Learn more : https://brainly.com/question/18153040

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