To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance. if the customs official selects 3 of the tablets at random for analysis, what is the probability that the traveler will be arrested for illegal possession of narcotics?

The probability that the traveler will be arrested for illegal possession of narcotics

Further Explanation:

The formula of permutation can be expressed as,

Here, “n” represents the total observations and “r” represents number of the observation has to be arranged.

Given:

There are 6 narcotic tablets in a bottle.

There are 9 vitamin tablets in a bottle.

Explanation:

The total number of tablets are

The probability of getting a narcotic tablet is

The probability of getting a vitamin tablet is

The probability that the traveler will be arrested for illegal possession of narcotics can be obtained as follows,

The probability that the traveler will be arrested for illegal possession of narcotics

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Answer details:

Grade: College

Subject: Statistics

Chapter: Binomial Distribution

Keywords: detection, customs, traveler, places, 6 narcotic, narcotic tablets, bottle, vitamin, 9 vitamin tablets, similar, customs, official, selects, illegal possession, arrested, traveler, random analysis, probability, narcotics.

step-by-step explanation:

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