Mathematics: If a fair coin is tossed five times, which of the following ordered sequence of heads (h) and tails (t), if any, is most likely to occur? a. h t h t t b. t h h h h c. h t h t h d. only sequences (a) and (c) are equally likely. e. all of the above sequences are equally likely.

I created this question to give myself points from another account...

If a fair coin is tossed five times, which of the

CaptnKragg

13.01.2022

Option E.

Step-by-step explanation:

If A and B are two events and P(A)>P(B), then event A is more likely to occur than event B.

It is given that a fair coin is tossed five times. It means

$P(H)=\frac{1}{2}$

$P(T)=\frac{1}{2}$

Probability of H T H T T is

$P(H)P(T)P(H)P(T)P(T)=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}=\frac{1}{32}$

Similarly probability of T H H H H and H T H T H is $\frac{1}{32}$ .

Since all events have same probability, therefore all of the above sequences are equally likely.

Thus, the correct option is E.

0,0(0 оценок)