If it snows tomorrow, the probability is 0.5 that John will practice his trumpet. If it does not snow tomorrow, there is only a 0.4 chance that John will practice. Suppose the chance of snow tomorrow is 60%. What is the probability that Justin will practice soccer this evening?

The probability that Justin will practice soccer this evening is 16%.

Step-by-step explanation:

The probability that John will practice soccer is given by the product of the probability that it won't snow and the probability that he'll practice soccer. This is shown below:

practice soccer = (1 - 0.6)*0.4

practice soccer = 0.4*0.4

practice soccer = 0.16

The probability that Justin will practice soccer this evening is 16%,

 The correct combinations are:

(A). 4 sizes and 3 toppings.

(D). 2 sizes and 6 toppings.

(F). 3 sizes and 4 toppings.

Step-by-step explanation:  Given that a A pizzeria makes pizzas in different sizes and with different toppings. The pizzeria wants its customers to have 12 options when they create a pizza.

We are to select the combination of size and toppings will give customers 12 options.

Combination (A): 4 sizes and 3 toppings.

Here, the number of options that customer will get = 4 × 3 = 12.

So, this combination is correct.

Combination (B): 2 sizes and 10 toppings.

Here, the number of options that customer will get = 2 × 10 = 20 ≠ 12.

So, this combination is NOT correct.

Combination (C): 3 sizes and 9 toppings.

Here, the number of options that customer will get = 3 × 9 = 27 ≠ 12.

So, this combination is NOT correct.

Combination (D): 2 sizes and 6 toppings.

Here, the number of options that customer will get = 2 × 6 = 12.

So, this combination is correct.

Combination (E): 4 sizes and 8 toppings.

Here, the number of options that customer will get = 4 × 8 = 32 ≠ 12.

So, this combination is NOT correct.

Combination (F): 3 sizes and 4 toppings.

Here, the number of options that customer will get = 3 × 4 = 12.

So, this combination is correct.

Thus, the correct combinations are A, D and F.