Is the sequence 4, 8, 12, 16, 20, ... a geometric sequence? If it is a geometric sequence, what is the common ratio?
1 answer:
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and 9 are the squares of, respectively,
and 3.
So, using
we have
Answer:
the probability that A is the overall winner is 5/14 or 0.35714
Step-by-step explanation:
Given the data in the question;
probability that A is the overall winner P[A is the overall winner]
⇒ +
+
+ ................
= +
+
+ ........
P(A) = =
=
∴{ they are evenly matched player}
so P(A is overall winner) will be;
= ()² + (
)⁵ + (
)⁸ + ..........+ (
)⁴ + (
)⁷ + (
)¹⁰ + .............
= ()² [1 + (
)³ + (
)⁶ + .........] + (
)⁴[1 + (
)³ + (
)⁶ + .........]
= [ ()² + (
)⁴ ] [ 1 / 1 - (
)³ ]
= [ () + (
) ] [
]
= ×
= 5/14 or 0.35714
Therefore, the probability that A is the overall winner is 5/14 or 0.35714