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Question: What is the probability of the spinner landing on\({\text{Rs 100}}\) A.\(\dfrac{1}{2}\) B.\(\dfr...

What is the probability of the spinner landing onRs 100{\text{Rs 100}}
A.12\dfrac{1}{2}
B.13\dfrac{1}{3}
C.16\dfrac{1}{6}
D.56\dfrac{5}{6}

Explanation

Solution

In order to find the probability of the spinner landing on Rs 100{\text{Rs 100}}, find the total possible outcomes from the spinning wheel by counting all the values, then calculate the favourable outcomes that is the number of chances we can get Rs 100{\text{Rs 100}}. Divide them to get the probability.
Formula used:
Probability = Number of Favourable outcomesNumber of Total possible favourable outcomes{\text{Probability = }}\dfrac{{{\text{Number of Favourable outcomes}}}}{{{\text{Number of Total possible favourable outcomes}}}}

Complete answer:
We have a spinning wheel with some values of Rs written on it.

We need to find the probability of the spinner landing on Rs 100{\text{Rs 100}}.For, that we need to find the possible outcomes and favourable outcomes.
We can see that there are a total of six values written on the spinner wheel, so any value can be obtained from this if the wheel is rotated.
So, total number of possible outcomes =6 = 6.
We need Rs 100{\text{Rs 100}}, so there are three Rs 100{\text{Rs 100}}, written on the spinning wheel, so when we rotate it, there are three chances of getting Rs 100{\text{Rs 100}}.
Therefore, Number of Favourable outcomes =3 = 3
From the definition of Probability, we know that:
⇒\Rightarrow Probability = Number of Favourable outcomesNumber of Total possible favourable outcomes{\text{Probability = }}\dfrac{{{\text{Number of Favourable outcomes}}}}{{{\text{Number of Total possible favourable outcomes}}}}
Substituting the obtained value in it and, we get:
⇒\Rightarrow Probability = 36{\text{Probability = }}\dfrac{3}{6}
Simplifying it more, we get:
⇒\Rightarrow Probability = 12{\text{Probability = }}\dfrac{1}{2}
Hence, the probability of the spinner landing on Rs 100{\text{Rs 100}} is 12\dfrac{1}{2}, which is the option A.
Therefore, Option A is correct.

Note:
1.Probability is nothing but the number of favourable outcomes divided by the total number of possible outcomes. It is also written as Probability = N(E)N(S){\text{Probability = }}\dfrac{{N\left( E \right)}}{{N\left( S \right)}}, where n(E) is the number of possible events and n(E) is the number of sample space.
2.Using the same method, we can find the probability of getting any other number on the spinning wheel.