The probability of three independent events happening one after the other is the multiplication of the probability of the single events.
The probability of spinning an odd number is 5/10=1/2, because there are 5 odd numbers (1,3,5,7 and 9) out of the 10 numbers from 1 to 10.
The probability of spinning a number less than 4 is 3/10, because there are 3 numbers (1,2 and 3) that are less than 4 out of the 10 numbers from 1 to 10.
The probability of spinning a 7 is 1/10, because you only have one good outcome out of 10.
So, the probability of winning the game is
[tex]\dfrac{1}{2}\times\dfrac{3}{10}\times\dfrac{1}{10} = \dfrac{3}{200}[/tex]
