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Use the formula for the probability of the complement of an event.Two dice are tossed. Let E be the event of getting a sum of at least 3.Which of the following describes the event Ec? _______A) getting a sum less than 2B) getting a sum not equal to 3C) getting a sum less than 3D) getting a sum greater than 3How many elements are in the event Ec? ______What is the probability of the following? (Enter your probabilities as fractions.)P(Ec)= _______P(E)= _______

Use The Formula For The Probability Of The Complement Of An EventTwo Dice Are Tossed Let E Be The Event Of Getting A Sum Of At Least 3Which Of The Following Des class=

Sagot :

ANSWER:

C) getting a sum less than 3

P(Ec) = 1/36

P(E )= 35/36

STEP-BY-STEP EXPLANATION:

When tossed two dice, the total number of elements is 36 and the statement tells us that E is the event of obtaining a sum of at least 3.

Therefore, the complementary event would be is getting a sum less than 3.

The elements that in the event E^c, that is, obtain a sum less than 3, is only one element (1,1).

Hence, the probabilities would be:

[tex]\begin{gathered} P(E^C)=\frac{1}{36} \\ P(E)=1-P(E^C)=1-\frac{1}{36}=\frac{35}{36} \end{gathered}[/tex]

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