5. Alan and Alice play a game of noughts and crosses. From looking at previous games, the probability of Alan winning is 0.31, the probability Alice will win is 0.45. What is
the probability of a draw?

0.24

Step-by-step explanation:

Then the probability of a draw = 1- (p

Pr(Alan) = the probability of Alan winning = 0.31,

Pr(Alice) = the probability Alice will win = 0.45.

We are required to give probability of a draw.

= 1-(pr(alan) + pr(alice)

= 1-0.45+0.31

= 1 - 0.76

= 0.24

We have 24% probability of having a draw.

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.

3

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3