I suppose the third term should say -10/3, not -103.
Notice that
-2 = -6/3
-4 = -12/3
so that, starting with the first term <em>a</em>(1) = -6/3, the every following term is obtained by subtracting 2/3.
-2 - 2/3 = -6/3 - 2/3 = -8/3
-8/3 - 2/3 = -10/3
-10/3 - 2/3 = -12/3 = -4
and so on.
So the recursive rule is
<em>a</em>(1) = -2,
<em>a</em>(<em>n</em> + 1) = <em>a</em>(<em>n</em>) - 2/3, for <em>n</em> ≥ 1
or C.
This problem fits the conditional probability formula very well. The formula is P(B|A) = P(B ∩ A)/P(A). If event A is winning the first game, and event B is winning the second, then P(B ∩ A) = 0.44, and P(A) = 0.6. So P(B|A) is obtained by dividing 0.44 by 0.6, which is about 0.733.
Answer:
0.3157
Step-by-step explanation:
Given that according to a certain news poll, 71% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly,
Let A be the event that it should be the government's responsibility to provide a decent standard of living for the elderly, and B the event that it would be a good idea to invest part of their Social Security taxes on their own
P(B) = 41%=0.41
A and B are independent
Hence P(both)=![0.77(0.41) = 0.3157\\](https://tex.z-dn.net/?f=0.77%280.41%29%20%3D%200.3157%5C%5C)
the probability that a person agreed with both propositions
= Probability for both A and B
= P(A) P(B) since A and B are independent
= 0.3157