Answer: Our required probability is 0.097.
Step-by-step explanation:
Since we have given that
Age group          respond         refused to respond        total
18-21 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 81 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 14 Â Â Â Â Â Â Â Â Â Â Â Â Â Â 95
22-29 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 215 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 32 Â Â Â Â Â Â Â Â Â Â Â Â Â 247
Total                296                   46              342
So, probability of getting someone in the 22-29 age bracket or some one who refused to respond.
So, it becomes P(22-29 age group) × P(who refused to respond)
[tex]\dfrac{247}{342}\times \dfrac{46}{342}\\\\=\dfrac{247\times 46}{342\times 342}\\\\=\dfrac{11362}{116964}\\\\=0.097[/tex]
Hence, our required probability is 0.097.