Question

a coin is tossed five times then the probability that at least one tail occurs is 1/32
31/32
1/2
none of these
​

Answer 1

Answer:

Answer is 31/32

Step-by-step explanation:

Let us assume a coin is fair and 2-sided. A coin usually flips heads or tails. Then to flip heads or tails equals

2

1

. Consider flip a coin 5 times. Since a coin flip has two outcomes, then a coin flip 5 times has 2

5

=32 outcomes.

We may show the outcomes, e.g. use sample space S. Then

(1)S=(H,H,H,H,H),(H,H,H,H,T),…,(T,H,H,H,H),(T,T,T,T,T)

It must follow ∣S∣=32. A helpful way to see may be S=H,T

5

=H,Tx…xH,T. If you see the complement of at least 1 tails means 0 tails or 5 heads, then we must surely see 1 outcome, e.g. all heads. Then it must follow at least one tails has 31 outcomes,e.g.32–1=31.

To find or compute the probability, then #favorable/#possible in outcomes. It means 31/32, e.g. or P(E)=1–

32

1

=

32

31

.

Answer 2

Answer:

probability of getting tails is 31/32