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Andru [333]
3 years ago
7

A card is selected randomly from a jar that contains 15 cards, numbered from 25 to 39. What is the probability that the card sel

ected bears a number less than 34? Give your answer as a decimal.
Mathematics
1 answer:
VikaD [51]3 years ago
7 0

Answer:

The probability that the card selected bears a number less than 34 is 0.3333.

Step-by-step explanation:

Let random variable <em>X</em> be defined as the number on the selected card.

There are <em>N</em> = 15 total cards.

The number on the cards are as follows:

S = {25, 26, 27,..., 38, 39}

The probability of an event, <em>E</em> is the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

In this case we need to compute the probability that the card selected bears a number less than 34.

The favorable outcomes are:

<em>s</em> = {25, 36, 37, 38, 39}

<em>n</em> (X < 34) = 5

Compute the probability that the card selected bears a number less than 34 as follows:

P(X

                  =\frac{5}{15}\\\\=\frac{1}{3}\\\\=0.3333

Thus, the probability that the card selected bears a number less than 34 is 0.3333.

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