Take one of the points in the table,
like x=1 y=5
or x=2 y=7
Write them into one of the choices on the list,
and see if the result is true.
For example,
-- Take the line in table that says x=1 y=5.
-- And take the first choice on the list y = x + 3 .
-- Write '1' in place of 'x', and write '5' in place of 'y'.
-- Then you have <u>5 = 1 + 3</u> .
Is this true ? I don't think so.
So the first choice on the list can't be correct.
Try thesame point x=1 y=5 with the other choices.
You'll find one that IS correct, and that's the answer.
5.95x2= 11.9
-2.67-11.9=-14.57
Her balance aftern2 days will be $-14.57
Answer:
The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.
For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.
For p=5/36, that's
(536)25+636=2511⋅36,
and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is
836+236(2511+1610+99)=244495=12−7990≈12−0.007.
Step-by-step explanation:
Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:
p(4)=336+2736p(4),so thatp(4)=13.
Repeat this reasoning for the other outcomes and then compute the total probability of winning as:
ptot=836+336p(4)+436p(5)+…
North
You are facing north. 90 degrees left is west. 180 degrees is now east. Reversing your direction is the same as 180 so your now back to facing west. Turn 45 left you’re now facing south. Reverse again and you’re facing north.
There should be a calculator for this on goggle because I had a lesson like this in 6th grade.
