Question

A coin is tossed four consecutive times, what is the probability of getting at least 4 consecutive heads?

Answer 1

Answer:

The required probability is: $\frac{1}{16}=0.0625$

Step-by-step explanation:

Consider the provided information.

A coin is tossed four consecutive times, that means the total sample space is $2^4=16$

Now we need to determine the probability of getting at least 4 consecutive heads.

At least 4 consecutive heads means heads comes 4 times or more than 4 times.

The sample space is:

(HHHH), (HTHH), (THHH), (HTHT ), (HHHT), (HTTH), (TTHH), (THTH), (HHTT), (HHTH), (TTTH), (THHT), (HTTT), (TTTT), (TTHT), (THTT)

From the above sample space we can concluded that 4 consecutive heads occurs only 1 time.

Therefore, the required probability is: $\frac{1}{16}=0.0625$