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How do you calculate the probabilities, when you throw two dice, of obtaining (a) a 5, and (b) an 11?

Answer 1

Eva Abramson

With two dice there are #6xx6=36# possible outcomes, from 11 12 13... to 56 65 66.

(a) 5 can be throw in the following ways: 14 23 32 41 #=4# ways. Probability: #P(5)=4/36=1/9#

(b) 11 can be trown as follows:: 56 65 #=2# ways. Probability #P(11)=2/36=1/18#

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Answer 2

Kennedy Adams

# P(5) \ \ = 1/9 #
# P(11) = 1/18 #

There are #36# total possible outcomes when two dice are thrown.

a) If we examine the possible outcomes that result in a total of #5#

So:

# P(5) = 4/36 = 1/9 #

b) If we examine the possible outcomes that result in a total of #11#

Then:

# P(11) = 2/36 = 1/18 #

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Answer 3

Savannah Anderson

To calculate the probabilities: a) Calculate the probability of obtaining a 5 on one die and multiply it by the probability of obtaining any number on the other die. b) Calculate the probability of obtaining an 11, which is only possible by rolling a 6 and a 5 or a 5 and a 6. Multiply the probabilities of rolling a 6 and a 5, then multiply the probabilities of rolling a 5 and a 6, and finally, add these probabilities together.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.