Question

Let (S) be the sample space associated with an experiment having the following probability distribution:

Outcome (s_1) (s_2) (s_3) (s_4) (s_5) (s_6)
Probability (p_1) (p_2) (p_3) (p_4) (p_5) (p_6)

Find the probability of the event _____.

A) (p_1 + p_3)
B) (p_2 × p_4)
C) (p_5 - p_6)
D) (p_1 × p_2)

Answer 1

To find the probabilities of different events, we need to multiply or add the probabilities of the individual outcomes in each event.

Step-by-step explanation:

To find the probability of an event, you need to sum the probabilities of all the outcomes in the event. A) (p1 + p3) corresponds to event A, which has two outcomes - s1 and s3. So, the probability of event A is p1 + p3.
B) (p2 × p4) corresponds to event B, which has two outcomes - s2 and s4. So, the probability of event B is p2 × p4.
C) (p5 - p6) corresponds to event C, which has one outcome - s5. So, the probability of event C is p5 - p6.
D) (p1 × p2) corresponds to event D, which has one outcome - s1. So, the probability of event D is p1 × p2.