Answer:
A
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
The spinner is evenly divided and numbered from 1 through 8.
[tex]\sf \implies Probability\:of\:landing\:on\:any\:number= \dfrac18[/tex]
There are 4 even numbers (2, 4, 6 and 8)
[tex]\sf \implies Probability\:of\:landing\:on\:an\:even\:number= \dfrac48=\dfrac12[/tex]
There are 3 numbers less than 4 (1, 2 and 3)
[tex]\sf \implies Probability\:of\:landing\:on\:a\:number\:less\:than\:4=\dfrac38[/tex]
Therefore, the probability of landing of an even number and then on a number of less than 4 is:
[tex]\sf \implies Probability=\dfrac12 \times \dfrac38=\dfrac{3}{16}[/tex]
