i. A coin is tossed four times. The probability is ¼ or 0.25 that all four tosses will result in a head face up.
ii. A coin is tossed four times. The probability is 1/8 or 0.125 that all four tosses will result in a head face up.
iii. If two events are mutually exclusive, then P(A or B) = P(A) P(B).
A) (i), (ii) and (iii) are all correct statements
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) All statements are false

Question

i. A coin is tossed four times. The probability is ¼ or 0.25 that all four tosses will result in a head face up. 
ii. A coin is tossed four times. The probability is 1/8 or 0.125 that all four tosses will result in a head face up.
iii. If two events are mutually exclusive, then P(A or B) = P(A) P(B).
A) (i), (ii) and (iii) are all correct statements
B) (i) and, (ii) are correct statements but not (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) All statements are false

Quizplus · Accepted Answer

The probability of getting heads on all four tosses is (1/2)^4 = 1/16 or 0.0625, so both (i) and (ii) are incorrect. For mutually exclusive events, P(A or B) = P(A) + P(B), not P(A)P(B), so (iii) is also incorrect.

I a Coin Is Tossed Four Times