Four coins are tossed. What is the probability that there will be at most one head
A) $\frac { 1 } { 8 }$
B) $\frac { 5 } { 16 }$
C) $\frac { 15 } { 16 }$
D) $\frac { 1 } { 32 }$
E) $\frac { 5 } { 32 }$

Question

Four coins are tossed. What is the probability that there will be at most one head   
A) $\frac { 1 } { 8 }$
B)   $\frac { 5 } { 16 }$
C)   $\frac { 15 } { 16 }$
D)   $\frac { 1 } { 32 }$
E)   $\frac { 5 } { 32 }$

Quizplus · Accepted Answer

The total number of outcomes when tossing four coins is $2^4 = 16$. The outcomes with at most one head include all tails (1 way) and one head with three tails (4 ways, as the head can be in any of the four positions). Thus, there are $1 + 4 = 5$ favorable outcomes. The probability is therefore $\frac{5}{16}$.

Four Coins Are Tossed 18\frac { 1 } { 8 }81​

Four Coins Are Tossed $\frac { 1 } { 8 }$