Answer:
The probability of given event = [tex]\frac{1}{15}[/tex]
Step-by-step explanation:
Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is not replaced before selecting the second slip of paper.
We have to find the probability of selecting a number less than 3 and then a number greater than 4.
Probability of an event = [tex]\frac{number of favourable events}{total number of events}[/tex]
The probability of selecting number less than 3 = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]
The probability of selecting number greater than 4 = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]
Total probability = [tex]\frac{1}{5}\times \frac{1}{3}[/tex] = [tex]\frac{1}{15}[/tex]