Homework Help

A coin is weighted so that a head is twice as likely to occur as a tail. The coin is...

user profile pic

cbromm | (Level 1) Honors

Posted July 3, 2013 at 2:09 AM via web

dislike 1 like

A coin is weighted so that a head is twice as likely to occur as a tail. The coin is flipped 10 times and the result of each flip is noted. Find the probability that both heads and tails occurs.

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted July 3, 2013 at 2:15 AM (Answer #1)

dislike 1 like

The coin is weighted so that a head is twice as likely to occur as a tail.

When the coin is flipped, the probability of getting heads is 2/3 and the probability of getting tails is 1/3.

If the coin is flipped 10 times, the probability that both heads and tails occurs is equal to 1 - (probability that only heads occurs) - (probability that only tails occurs) = `1 - (2/3)^10 - (1/3)^10 ~~ 0.9826`

The required probability that both heads and tails occurs is approximately 0.9826

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes