The probability that we will get a lead role, given that we are chosen to be in the play is 0.5.
What is probability?
Probability is the ratio that shows the likelihood of an event occurring from a given set of possible events.
We can find the required probability below:
The probability that we will be chosen for the play is 0.4.
The probability that we will get the lead role is 0.1.
We have to find the probability that we get a lead role, given that we are already chosen to be in the play.
In this situation, the probability can be found by adding the probability of being chosen and the probability that we will get the lead role.
This can be done as shown below:
The probability that we get a lead role, given that we are already chosen to be in the play = The probability that we will be chosen for the play + The probability that we will get the lead role
= 0.4 + 0.1
= 0.5
The probability of us getting a lead role given that we have already been chosen for the play is found to be 0.5. The correct answer is option D.
Learn more about probability here: https://brainly.com/question/25870256
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