For a sales promotion, the manufacturer places winning symbols under the caps of 23% of all its soda bottles. If you buy a six-pack of soda, what is the probability that you win something?

The probability that you win something is 0.7916.

Step-by-step explanation:

Let X denote the number of soda bottles having winning symbols under the caps.

The proportion of soda bottles having winning symbols under the caps is, p = 0.23.

Six-pack of soda are randomly bought.

Every bottle is independent of the others to have the symbols under the caps.

The random variable X follows a binomial distribution with parameters n = 6 and p = 0.23.

Then the chance of winning something implies that at least 1 of the bottles in the six-pack have the symbol under the caps.

Compute the value of P (X ≥ 1) as follows:

Thus, the probability that you win something is 0.7916.

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step-by-step explanation:

the word superfluous means unnecessary