Question

Worth a lot of points

Answer 1

Using probability concepts, we have that:

a) The probability of selecting a card is of $\frac{1}{3}$.

b) $\frac{3}{4}$ 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:

$\frac{1}{4} + \frac{5}{12} + x = 1$

$\frac{8}{12} + x = 1$

$\frac{2}{3} + x = 1$

$x = \frac{1}{3}$

The probability of selecting a card is of $\frac{1}{3}$.

Item b:

$\frac{1}{4}$ probability of spinning again, hence:

$p = 1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4}$

$\frac{3}{4}$ probability that on any turn you will not get to spin again.

Item c:

The probability of selecting a card is of $\frac{1}{3} = 0.3333$.

The probability of losing a turn is $\frac{5}{12} \approx 0.4$, hence it is more likely.

You can learn more about probabilities at brainly.com/question/15536019