Ask Question
26 February, 03:25

We flip a fair coin 10 times. what is the probability that we get heads in at least 6 of the 10 flips?

+1
Answers (1)
  1. 26 February, 04:10
    0
    We are asked in this problem to determine the probability of getting at least 6 heads after flipping 10 coins. the sample space of each flip is two that is there is an equal probability of getting a success and a failure. The formula of getting a probability is equal to

    F = zPn * p^n * q^ (z-n)

    we will get the probabilities from 6 to 10.

    For 6 successful outcomes

    F6 = 10C6 * 0.5^6*0.5^4 = 105/512

    F7 = 10C7*0.5^7*0.5^3 = 15/128

    F8=10C8*0.5^8*0.5^2=45/1024

    F9=5/512

    F10=1/1024

    The probability of getting at least 6 heads is equal to the sum of the individual probabilities from 6 to 10 that is equal to

    Ft = 1/1024 + 5/512+45/1024+15/128+105/512 = 193/512=0.38
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “We flip a fair coin 10 times. what is the probability that we get heads in at least 6 of the 10 flips? ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers