<u>Answer:</u>
Option c)
The pair does not represent the probabilities of complementary events is 0.25 and 0.50
<u>Explanation:</u>
Probability of complementary events signifies that the sum of the respective probabilities should always add up to 1. That means when the sum of the probability of the individual terms cumulates into 1 then the event performed is a complementary event.
a)Probability of event 1 = 4/7
Probability of event 2 = 3/7
Sum of the events = P(E1) + P (E2)
= 4/7+3/7=7/7=1
Hence it is a complementary event
b)Probability of event 1 = 16% = 0.16
Probability of event 2 = 84%= 0.84
Sum of the events = P(E1) + P (E2)
=0.16+0.84
=1
Hence it is a complementary event
c)Probability of event 1=0.25
Probability of event 2= 0.50
Sum of the events = P(E1) + P (E2)
= 0.25+0.50
=0.75
Since the sum is not 1
Therefore it is not a complimentary event
d)Probability of event 1= 1
Probability of event 2= 0
Sum of the events = P(E1) + P (E2)
= 1+0
=1
Hence it is a complimentary event
