Answered

IDNLearn.com is designed to help you find the answers you need quickly and easily. Our platform is designed to provide quick and accurate answers to any questions you may have.

a magician designed an unfair coin so that the probability of getting a head on a flip is $60\%$. if he flips the coin three times, what is the probability that he flips more heads than tails? express your answer as a common fraction.

Sagot :

Probability of getting a head is 60%

More heads than tails means these possibilities are

2 Heads - 1 Tail

3 Heads - 0 Tails

Probability of 2 Heads and 1 Tail =   C (3,2) (.60) ^2 (.40)  

=3 * (.36) (.40)  

=3 * .144

=3 (144/1000)  

=3 (18/125)

=54/125

Probability of 3 Heads = (.60) ^3

= .6 (.36)

= .216 = 216 / 1000

= 27 / 125

Hence, total probability =   54 / 125 + 27 / 125

= 81 / 125

Learn more about- https://brainly.com/question/28465824

#SPJ4

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.