Let E and F be events of a sample space S of an experiment, then P(E&r...
Conditional Probability:
Conditional probability is the probability of an event occurring given that another event has occurred. It is denoted by P(E/F), which means the probability of event E given that event F has occurred.
Formula:
The formula for conditional probability is as follows:
P(E/F) = P(E ∩ F) / P(F)
Here, P(E ∩ F) represents the probability of both events E and F occurring together.
Solution:
Given, E and F are two events of a sample space S.
We need to find the value of P(E/F).
The correct option is D, which means 1.
Explanation:
When we say P(E/F), it means the probability of event E given that event F has occurred.
If the probability of event F happening is 0, then P(E/F) is undefined.
If the probability of event F happening is 1, then P(E/F) is equal to P(E), which means the probability of event E happening.
Here, the given option D is 1, which means that event F has occurred for sure.
So, the probability of event E happening given that event F has occurred is 1, which means that event E has also occurred for sure.
Hence, the correct option is D, which means 1.
Let E and F be events of a sample space S of an experiment, then P(E&r...
E'/F + E/F = 1( sum total of all the possible outcome is always equal to 1)
1=e'/f + e/f
1-e/f = e'/f
hence correct answer is d