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Minchanka [31]
3 years ago
15

Suppose you have a 6-sided number cube and a coin. Event A is that you roll the number cube and land on 1, and event B is that y

ou flip the coin and land on tails. How could you describe events A and B?
Choose all that apply.

-independent events
-dependent events
-mutually exclusive events
-not mutually exclusive events
Mathematics
2 answers:
ratelena [41]3 years ago
6 0

Answer:  The correct option is (A) Independent events.

Step-by-step explanation:  Given that we have a 6-sided Suppose you have a 6-sided number cube and a coin.

Event A and event B are defined as follows:

Event A : the event of rolling 1 on the number cube,

Event B: the event of landing on a tail while flipping the coin.

We are to select the correct description of the events A and B from the given options.

<u><em>Independent Events:</em></u><em> </em> Two events are said to be independent if the happening of one of them does not affect the happening of the other.

<u><em>Dependent events:</em></u> Two events are said to be dependent if the happening of one of them affect the happening of the other.

<u><em>Mutually exclusive events:</em></u>  Two events are mutually exclusive or disjoint if they cannot both occur at the same time.

<u><em>Not-mutually exclusive:</em></u>  Two events are said to be mutually non exclusive events if both the events have at least one common outcome between them.

Now, looking at the definition of events A and B, we can say that the happening of any one of them does not affect the happening of the other event.

Because, the rolling of 1 on a number cube and landing a tail on a coin are independent of each other.

So, the events A and B are INDEPENDENT events.

Option (A) is CORRECT.

Anton [14]3 years ago
5 0
They are independent events because the outcome of one does not affect the outcome of the other
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<h3><u>Answer:</u></h3>

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\quad\rule{300pt}{1pt}

<h3><u>Solution</u><u>:</u></h3>

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

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\quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}

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‎ㅤ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>distance </u><u>from </u><u>the </u><u>top </u><u>of </u><u>the </u><u>ladder </u><u>to </u><u>the </u><u>ground </u><u>is </u><u>2</u><u>2</u><u>.</u><u>3</u><u>2</u><u> </u><u>feet </u><u>!</u>

\rule{300pt}{2pt}

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