Answer :
Answer:
The probability that the card selected bears a number less than 34 is 0.3333.
Step-by-step explanation:
Let random variable X be defined as the number on the selected card.
There are N = 15 total cards.
The number on the cards are as follows:
S = {25, 26, 27,..., 38, 39}
The probability of an event, E is the ratio of the number of favorable outcomes to the total number of outcomes.
[tex]P(E)=\frac{n(E)}{N}[/tex]
In this case we need to compute the probability that the card selected bears a number less than 34.
The favorable outcomes are:
s = {25, 36, 37, 38, 39}
n (X < 34) = 5
Compute the probability that the card selected bears a number less than 34 as follows:
[tex]P(X<34)=\frac{n(X<34)}{N}[/tex]
[tex]=\frac{5}{15}\\\\=\frac{1}{3}\\\\=0.3333[/tex]
Thus, the probability that the card selected bears a number less than 34 is 0.3333.