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Karo-lina-s [1.5K]
3 years ago
8

Show that the following rational number by expressing it as a ratio quotient of two integers 0.9

Mathematics
1 answer:
kipiarov [429]3 years ago
7 0
A rational number can be expressed in the form a/b, where a and b are other integers.  To satisfy this definition, 0.9 can be written as 9/10, 18/20, 90/100, etc.
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Answer:

The probability that she wins exactly once before she loses her initial capital is 0.243.

Step-by-step explanation:

The gambler commences with $30, i.e. she played 3 games.

Let <em>X</em> = number of games won by the gambler.

The probability of winning a game is, <em>p</em> = 0.10.

The random variable <em>X</em> follows a Binomial distribution, with probability mass function:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2,...

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Thus, the probability that she wins exactly once before she loses her initial capital is 0.243.

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