Thank you for your help You toss a fair coin 2 times. What is the chance that yo

Question

Thank you for your help

You toss a fair coin 2 times. What is the chance that you will get a sequence of 2 heads? You toss a fair coin 4 times. What is the chance that you will get that in each and every time the outcome is heads? You toss a fair coin 10 times. What is the chance that all the outcomes are heads? You toss a fair coin 21 times. What is the chance that all the outcomes will be heads? Compare it to the chance you found on part (a) of question 5. Small numbers are sometimes hard to make sense of. To put them into perspective, think about the following: If takes you one minute to toss the coin 20 times, and this is the only thing you do every day and night until you toss it 2.097.152 times (which is equal to 2^21), how long would it take you to complete your task? Compare that number to how old you are.

Explanation / Answer

a) probabiltity of 2 heads out of 2 trial =P(first toss result into head*second toss result into head) =(1/2)*(1/2) =1/4

b) in the same reasoning probabilty of having 4 head out of 4 trial =(!/2)4

c) in the same reasoning probabilty of having 10head out of 10 trial =(1/2)10

d)  in the same reasoning probabilty of having 21 head out of 21 trial =(1/2)21

e)let number of days it takes to complete the task =x

as there are 24*60=1440 minutes a day

hence number of toss in a day =1440*20 =28800

hence x*28800 =221

x =221/28800 =72.82 days

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.