SOLUTION: A person claims to have ESP​ (extrasensory perception). A coin is tossed 30 ​times, and each​ time, the person is asked to predict in advance whether the coin will land heads

Algebra.Com
Question 1155291: A person claims to have ESP​ (extrasensory perception). A coin is tossed 30 ​times, and each​ time, the person is asked to predict in advance whether the coin will land heads or tails. The person predicts correctly 60​% of the time​ (i.e., on 18 ​tosses). What is the probability of being correct 18 or more times by pure​ guessing
Answer by ikleyn(52805)   (Show Source): You can put this solution on YOUR website!
.

It is  P =  = 1 -  = 1 - BINOM.DIST(17,30,0.6,TRUE) = 1 - 0.4215 = 0.5785.    ANSWER


I used the probability 0.6 to guess correctly and 0.4 to guess incorrectly (according to the condition)

Solved.

-----------------

I used Excel function BINOM.DIST to quickly calculate the expression.

On Excel function BINOM.DIST, see its description everywhere, for example

https://support.office.com/en-us/article/binom-dist-function-c5ae37b6-f39c-4be2-94c2-509a1480770c


RELATED QUESTIONS

Use the normal distribution to approximate the desired probability. A coin is tossed 20... (answered by Boreal)
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 22 (answered by ikleyn)
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 22 (answered by ikleyn)
A man claims to have extrasensory perception. As a test, a fair coin is 25 flipped... (answered by edjones)
A man claims to have extrasensory perception. As a test, a fair coin is flipped 29 times, (answered by stanbon)
A man claims to have extrasensory perception. As a test, a fair coin is flipped 22 times, (answered by edjones)
A man claims to have extrasensory perception. As a test, a fair coin is flipped 28 times, (answered by stanbon)
Use the normal distribution to approximate the desired probability. A coin is tossed... (answered by Math2019)
What is the P-value for the testing of the following hypothesis for someone who gets 25... (answered by stanbon)