Answer:
2. the second alternative is correct
3. 24
Explanation:
2.
In flipping a coin once, we can either land Heads, H or Tails, T. The sample space is thus;
{H,T}
In rolling a number cube labelled 1 to 6, we can roll a 1, 2, 3, 4, 5, or a 6. The sample space is thus;
{1, 2, 3, 4, 5, 6}
When we flip the coin and roll the number cube we shall combine the above sample spaces using the following logic;
We can roll the number cube and obtain a 1. When we flip the coin, we can land Heads or Tails. This gives a possible combined outcome of;
H-1, T-1
We can roll the number cube and obtain a 2. When we flip the coin, we can land Heads or Tails. This gives a possible combined outcome of;
H-2, T-2
Going on and on, we can roll the number cube and obtain a 6. When we flip the coin, we can land Heads or Tails. This gives a possible combined outcome of;
H-6, T-6
We shall have a total of ;
6*2 = 12 possible outcomes
Therefore, the second alternative is correct
3.
The number of different lunch combinations that can be made from 3 sandwich choices, 2 side item choices and 4 beverage choices if you choose one sandwich, one side and one beverage is ;
3*2*4= 24
We simply find the product of the number of choices under each category.