clairerodipe42
Answered

Tommy says: "If I flip an unbiased coin four times in a row, I am more likely to see 2 heads then 2 tails, than 4 heads in a row."
Is Tommy correct? Explain your answer.



Answer :

lizzytse9

Answer:

Tommy is not correct

Step-by-step explanation:

if we write out the sample space (all the possibilities)

we have:

HHHH, HHHT, HHTH, HTHH, THHH, HTTT, TTTT, TTTH, TTHT, THTT, TTHH, THHT, HTHT, THTH, HTTH, HHTT

the probability of getting 4 heads is 1/16

the probability of getting 2 heads then 2 tails is 1/16

they have the same probability, so the chance of getting HHHH and HHTT are the same