Jason tossed a fair coin 3 times. what is the probability of getting a head and two tails in any order?
3 over 8
4 over 8
5 over 8
6 over 8

3 over 8

Step-by-step explanation:

Given: Jason tossed a fair coin 3 times. What is

Sample space : {HHH, TTT, HHT, TTH, THT, HTH, THH, HTT}

Number of possible outcomes = 8

The favorable outcomes of getting a head and two tails in any order (HTT,THT,TTH)=3

Since, Probability=

Hence, the probability of getting a head and two tails in any order=

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.