<h2>The required probability is 0.1224.</h2>
Step-by-step explanation:
Here, given:
The probability of having 0 dental checkup = 0.3
The probability of having 1 dental checkup = 0.6
The probability of having 2 dental checkup = 0.1
Number of people chosen at random = 7
So, the number of ways 2, 4 and 1 checkup are :
Now, the combined probability that two will have no checkups, four will have one checkup, and one will have two checkups in the next year
=
Hence, the required probability is 0.1224.