a If you flip a coin and it shows heads what is the probabil

a. If you flip a coin and it shows heads- what is the probability that you will get heads again on your next toss?

b. what is the probability of flipping 10 tails in a row? Show your work.

c. You flip a coin two times. What is the probability (a) both are heads? (b) tails? (c) one heads and one tails?

Probability that you will get heads again on your next toss = 1/2 =0.5 Answer

It can be interpreted in this way,

If 10 coins are tossed simultaneously ,total number of outcomes = 2^10

All 10 tail is one case only.

Hence , probability of flipping 10 tails in a row= 1/2^10 = 0.00097 Answer

Sample Space : {HH , HT,TH,TT}

a. P(Both heads) = 1/4 = 0.25

b. P(Both tails) = 1/4 = 0.25

c. P(one head and one tail ) = 2/4 = 0.5