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}](https://tex.z-dn.net/?f=P%28E%29%3D%5Cfrac%7Bn%28E%29%7D%7BN%7D)
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](https://tex.z-dn.net/?f=P%28X%3C34%29%3D%5Cfrac%7Bn%28X%3C34%29%7D%7BN%7D)
![=\frac{5}{15}\\\\=\frac{1}{3}\\\\=0.3333](https://tex.z-dn.net/?f=%3D%5Cfrac%7B5%7D%7B15%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%3D0.3333)
Thus, the probability that the card selected bears a number less than 34 is 0.3333.