A box contains three yellow balls labeled A, B, C respectively, four green balls labeled X,Y,Z,W respectively, and one red ball labeled Q. You remove one ball from the box (without replacing it) and then you remove a second ball from the box. (a) If only the letter on each ball is recorded, state the sample space S1. (b) If only the color of each ball is recorded, state the sample space S2. (c) If only the letter on the first ball chosen is recorded and only the color of the second bal oplo cnaco S as a set

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1. A box contains three yellow balls labeled A, B, C respectively, four green balls labeled
X,Y,Z,W respectively, and one red ball labeled Q. You remove one ball from the box
(without replacing it) and then you remove a second ball from the box.
(a) If only the letter on each ball is recorded, state the sample space S1.
(b) If only the color of each ball is recorded, state the sample space S2.
(c) If only the letter on the first ball chosen is recorded and only the color of the second ball
chosen is recorded, express the sample space, S, as a set.
Transcribed Image Text:1. A box contains three yellow balls labeled A, B, C respectively, four green balls labeled X,Y,Z,W respectively, and one red ball labeled Q. You remove one ball from the box (without replacing it) and then you remove a second ball from the box. (a) If only the letter on each ball is recorded, state the sample space S1. (b) If only the color of each ball is recorded, state the sample space S2. (c) If only the letter on the first ball chosen is recorded and only the color of the second ball chosen is recorded, express the sample space, S, as a set.
Expert Solution
Step 1

1.

From the given information, a box contains three yellow balls labeled A, B, C, four green balls labeled X, Y, Z, W and one red ball labeled Q.

Two balls are removed from the box without replacement.

a)

IF only the letter on each ball is recorded.

Sample space S1:

S1=(A,B), (B,A)(X, Q), (Q,X)(Z,W), (W,Z) (A,C), (C,A)(B,C), (C,B)(W, Q), (Q,W)(A,X), (X,A)(B,X), (X,B)(C,X), (X,C)(A,Y), (Y,A)(B,Y), (Y,B)(C,Y), (Y,C)(A,Z), (Z, A)(B,Z), (Z,B)(C,Z), (Z,C)(A,W), (W,A)(B,W), (W,B)(C,W), (W,C)(A,Q), (Q,A)(B,Q), (Q,B)(C,Q), (Q,C)(X,Y), (Y,X)(X,Z), (Z,X)(Z, Q), (Q,Z)(X,W), (W,X) (Y,Z), (Z,Y)   (Y,W), (W,Y)    (Q,Y),(Y, Q)  

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