Using probability concepts, we have that:
a) The probability of selecting a card is of [tex]\frac{1}{3}[/tex].
b) [tex]\frac{3}{4}[/tex] probability that on any turn you will not get to spin again.
c) Losing a turn is more likely.
What is a probability?
A probability is given by the number of desired outcomes divided by the number of total outcomes.
Item a:
The sum of all probabilities, which are 1/4, 5/12 and x(selecting a card) is 1, hence:
[tex]\frac{1}{4} + \frac{5}{12} + x = 1[/tex]
[tex]\frac{8}{12} + x = 1[/tex]
[tex]\frac{2}{3} + x = 1[/tex]
[tex]x = \frac{1}{3}[/tex]
The probability of selecting a card is of [tex]\frac{1}{3}[/tex].
Item b:
[tex]\frac{1}{4}[/tex] probability of spinning again, hence:
[tex]p = 1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4}[/tex]
[tex]\frac{3}{4}[/tex] probability that on any turn you will not get to spin again.
Item c:
The probability of selecting a card is of [tex]\frac{1}{3} = 0.3333[/tex].
The probability of losing a turn is [tex]\frac{5}{12} \approx 0.4[/tex], hence it is more likely.
You can learn more about probabilities at https://brainly.com/question/15536019
