Question

In a football match, Ronaldo makes 4 goals from 10 penalty kicks. The probability of converting a penalty kick into a goal by Ronaldo, is
a)\[\dfrac{1}{4}\]
b)\[\dfrac{1}{6}\]
c)\[\dfrac{1}{3}\]
d)\[\dfrac{2}{5}\]

Answer 1

HINT: - In such questions, we first find the favorable outcomes for the event of which the probability is to be calculated.

Complete step-by-step answer:
Then, we find the total outcomes and then we use the following formula to evaluate the probability.

The formula for evaluating probability of any event is

P \[=\dfrac{Favorable\ outcomes}{Total\ outcomes}\] .

As mentioned in the question, we have to calculate the probability of converting a penalty kick into a goal by Ronaldo and for this we will first find the favorable outcomes for the event which is given in the question as 4.

Now, we will find the total outcomes which is also mentioned in the question as 10.

Now, using the formula for calculating the probability of Ronaldo scoring a goal of a penalty kick is as follows

\[\begin{align}

  & =\dfrac{Favorable\ outcomes}{Total\ outcomes} \\

 & =\dfrac{4}{10} \\

 & =\dfrac{2}{5} \\

\end{align}\]

Hence, the probability of scoring a goal of a penalty kick by Ronaldo is \[\dfrac{2}{5}\] .

NOTE: - Another way of doing this question is by calculating the probability of Ronaldo not scoring a goal of a penalty kick and then subtracting that from the total probability which is 1.