14.1 Random Experiments and Sample Space

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Solved Examples

Let us denote Blue balls as B1,B2,B3B_1, B_2, B_3 and White balls as W1,W2,W3,W4W_1, W_2, W_3, W_4.

  1. Case 1: Head (H): We draw a ball. Outcomes: HB1,HB2,HB3,HW1,HW2,HW3,HW4HB_1, HB_2, HB_3, HW_1, HW_2, HW_3, HW_4.
  2. Case 2: Tail (T): We throw a die. Outcomes: T1,T2,T3,T4,T5,T6T1, T2, T3, T4, T5, T6.

Sample Space (SS): S={HB1,HB2,HB3,HW1,HW2,HW3,HW4,T1,T2,T3,T4,T5,T6}S = \{HB_1, HB_2, HB_3, HW_1, HW_2, HW_3, HW_4, T1, T2, T3, T4, T5, T6\}.

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