A dice is thrown once. What is the probability of getting the number 5?
A.$\dfrac{2}{6}$
B.$\dfrac{5}{6}$
C.$\dfrac{1}{6}$
D.None of these
Answer
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Hint: Here, we will find the probability of getting 5 when a dice is thrown once. We will write the total number of outcomes that will occur when we roll a dice once. Then we will check how many times 5 are coming to find favorable outcomes. Next, we will divide the favorable outcome by the total number of outcomes to get the required probability.
Complete step-by-step answer:
As we know that a dice structure is a cube that has 6 sides.
Therefore, it has 6 numbers written on each side,
So the possible outcome that we can get if we roll the dice once is $1,2,3,4,5,6$.
Now, as we can see that 5 is coming just once and total number of outcomes are 6
Favorable outcome of getting 5 = 1
Total number of outcomes = 6
$\therefore $ Probability of getting number 5 $ = $ Favorable outcome $ \div $ Total number of outcomes
Substituting all the value in the above equation, we get
Probability of getting 5 $ = \dfrac{1}{6}$
Hence, option (C) is correct.
Note: Probability tells how likely an event is to occur or we can say how likely a proposition is true. We use probability when we are dealing with experiments that are random and well-defined in a theoretical way. As we know that there is an equal chance of getting any number when we roll dice so chances of getting any one number is always the same i.e. $\dfrac{1}{6}$. As it is not stated in the question that the dice is biased or unbiased by default we take the die as an unbiased one.
Complete step-by-step answer:
As we know that a dice structure is a cube that has 6 sides.
Therefore, it has 6 numbers written on each side,
So the possible outcome that we can get if we roll the dice once is $1,2,3,4,5,6$.
Now, as we can see that 5 is coming just once and total number of outcomes are 6
Favorable outcome of getting 5 = 1
Total number of outcomes = 6
$\therefore $ Probability of getting number 5 $ = $ Favorable outcome $ \div $ Total number of outcomes
Substituting all the value in the above equation, we get
Probability of getting 5 $ = \dfrac{1}{6}$
Hence, option (C) is correct.
Note: Probability tells how likely an event is to occur or we can say how likely a proposition is true. We use probability when we are dealing with experiments that are random and well-defined in a theoretical way. As we know that there is an equal chance of getting any number when we roll dice so chances of getting any one number is always the same i.e. $\dfrac{1}{6}$. As it is not stated in the question that the dice is biased or unbiased by default we take the die as an unbiased one.
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