A card is selected at random from the set of cards below. A B C D E F G 1 4 6 2 5 1 2 A sample space for the experiment is {A, B, C, D, E, F, G}. Let W- represent the event &quo…

Question

A card is selected at random from the set of cards below.

A B C D E F G
1 4 6 2 5 1 2
A sample space for the experiment is {A, B, C, D, E, F, G}. Let W- represent the event "the card is white," let S represent "the card is shaded," and let L represent "the number is less than 3." Select all that apply.
A. The event W is {A, C, G}.
B. The event W or L is {A, D, F, G}.
C. The event W and L is {A, G}.
D. The event not L is {B, C, E, F}.
E. P(W or S) = 1
F. P(W and S) = 0

Answer 1

Statements A, B, D, and F are correct.

Statement C is incorrect.

Statement E is incorrect.

Let's analyze each statement:

A. The event W is {A, C, G}.

This is correct. The white cards are A, C, and G.

B. The event W or L is {A, D, F, G}.

This is correct. Cards in W or L are A (less than 3), D (less than 3), F (less than 3), and G (white).

C. The event W and L is {A, G}.

This is incorrect. The cards that are white and less than 3 are A and G, so it should be {A, G}.

D. The event not L is {B, C, E, F}.

This is correct. The cards not less than 3 are B, C, E, and F.

E. P(W or S) = 1

This is incorrect. P(W or S) is the probability that the card is white or shaded. Since all cards are either white or shaded, the probability is 1.

F. P(W and S) = 0

This is correct. There are no cards that are both white and shaded, so the probability is 0.