action Math assist » Data evaluation » Probability » Outcomes » exactly how to find the probability of an outcome


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Correct answer:


Explanation:

If you flip a coin, the chances of you getting heads is 1/2. This is true every time you flip the coin so if you upper and lower reversal it 3 times, the opportunities of you acquiring heads every time is 1/2 * 1/2 * 1/2, or 1/8.

You are watching: If you flip a coin 3 times, what is the probability of flipping heads 3 times?


Explanation:

The sample an are for rolling two six-sided dice

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, due to the fact that each die has
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sides.

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There space three methods to role a four.

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*

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The probability of roll a 4 is offered by the number of outcomes that develop a four separated by the total number of outcomes.

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Explanation:

The probability of drawing a red marble is

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.

The total variety of marbles 

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is
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, so over there are 
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feasible outcomes. 
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the these possible outcomes space red marbles, for this reason the probability the a red marble the end of any type of marble is
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.


In a details lottery, ten balls are numbered #1 with #10. Two winning balls will be drawn without replacement.

Billy dram the lottery and picks the numbers 9 and 10.

 


In a lottery, ten balls are numbered #1 through #10. 2 winning balls will certainly be drawn without replacement.

Billy theatre the lottery and also picks the numbers 9 and also 10.

 


When flipping a coin twice, what is the probability of obtaining one heads and also one tails? there is no regard come order. I.e., either the top or the tails could show up first.


Explanation:

There space 4 possible outcomes for the event HH, HT, TH, TT. Two of these 4 outcomes encompass exactly one heads and also one tails. 

Thus the equipment is 2/4 = 1/2 = 0.5


With a pair of typical six-sided dice, what is the probability of acquiring a sum of less than five OR at least ten?


Explanation:

Probability is a portion between 0 and also 1. The denominator is the total number of possible outcomes and the molecule is the total number of desired outcomes. For two dice, the total number of ways to roll the dice is 36 (6 ~ above the very first die have the right to go with any type of of the 6 ~ above the 2nd die)

The complying with outcomes result in a amount of much less than 5: 1, 1 1, 2 1, 3 2, 1 2, 2 3, 1, because that 6 possible outcomes

The following outcomes an outcome in a amount of at the very least 10: 4, 6 5, 6 5, 5 6, 6 6, 5 6, 4 for 6 possible outcomes

Since us are trying to find a sum of less than 5 OR a amount of at least ten, we amount up the total number of desired outcomes

So the probability of gaining less than 5 or at the very least ten will certainly be 12/36, or 1/3


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Example inquiry #38 : Probability


There are 6 pink marbles, 3 green marbles, and 5 white marbles in a bag; if one marble is taken out, what is the probability the the marble is pink?


Possible Answers:
Correct answer:

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Explanation:

There room 6 pink marbles out of 14 total, which reduces to 3/7.


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Example question #39 : Probability


A fair coin is flipped three times. What is the probability that the result is top all 3 times?


Possible Answers:
Correct answer:

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Explanation:

There space 8 feasible sequences that deserve to occur offered this scenario, listed as HHH, HHT, HTT, HTH, THT, THH, TTH, TTT 

Only one aspect in this set is the preferred outcome the 3 heads. For this reason we acquire 1/8 is our probability.

Another way to look at this problem is to consider that the probability the flipping heads as soon as is 1/2, therefore the probability the flipping top 3 time consecutively is 1/2 * 1/2 * 1/2 = 1/8


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Example inquiry #40 : Probability


A solitary die is rolled and one coin is flipped. 

What is the probability of gaining a number less than 4 top top the die and a heads on the coin?


Possible Answers:
Correct answer:

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Explanation:

To obtain a number less than 4 on a die, 3/6 is the probability. To obtain a heads is a 1/2 chance.

So, because both occasions are independent, main point the 2 probabilities with each other to obtain your answer.

See more: What Does A Burning House Mean In A Dream, Dream Of Fire


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