Suppose a coin is tossed 21 times in a row with equal probability of heads and tails
a. What is the probability that heads does not occur three times in a row?
That is, with 21 tosses, what is the probability heads is never immediately
followed by two other heads?

b. What is the probability that the coin is facing the same way three times in
a row (that is three heads in a row or three tails in a row) exactly once in
the 21 tosses?

1. is 4 and 2. is 3

step-by-step explanation:

so if you look at the first one you see that 1 is to 4 and 2 is to 8 and so on, so you can see for every 1 there is a times 4 so if it were 3 then it would be 3*4 and it is 12

for number 2 it is 3 because 1 is to 3 and 2 is to 6 so for every 1 there is 3 so if it were 3 then there would be 3*3 = 9

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )