Directions: Toss 5 coins 20 times simultancously and observe the number of heads that will occur. The possible values of X or the number of heads in 5 coins tossed are 0, 1, 2, 3, 4 and 5. Activity 1. List all the outcomes in the table Tossed # Outcome Coin 3 Coin 1 Coin 2 Number of Heads X Coin 4 Coin 5 3 4. 6. 7. 8 9. 10 11 12 13 14 15 16 17 18 19 20 Activity 2. Complete the table. Frequency of Occurrence Actual Probability Relative Frequency [Frequency of Occurrence + Total Number of Times the Coins Were Tossed] (Approximate probability) Number of Heads 0.031 0.156 1 0.313 3 0.313 4 0.156 0.031 Task: 1. Compare the approximate probability values and the actual probability values. 2. How would you make the approximate probability values very close to the actual probability values?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Directions: Toss 5 coins 20 times simultancously and observe the number of heads that
will occur. The possible values of X or the number of heads in 5 coins tossed are 0, 1,
2, 3, 4 and 5.
Activity 1. List all the outcomes in the table
Tossed #
Outcome
Coin 3
Coin 1
Coin 2
Number of Heads X
Coin 4
Coin 5
3
4
8
9.
10
11
12
13
14
15
16
17
18
19
20
Activity 2. Complete the table.
Number of
Heads
Actual Probability
Relative Frequency
[Frequency of Occurrence + Total
Number of Times the Coins Were
Tossed]
(Approximate probability)
Frequency
of
X
Occurrence
0.031
0.156
1
0.313
0.313
3
0.156
0.031
4
5
Task:
1. Compare the approximate probability values and the actual probability values.
2. How would you make the approximate probability values very close to the actual
probability values?
Transcribed Image Text:Directions: Toss 5 coins 20 times simultancously and observe the number of heads that will occur. The possible values of X or the number of heads in 5 coins tossed are 0, 1, 2, 3, 4 and 5. Activity 1. List all the outcomes in the table Tossed # Outcome Coin 3 Coin 1 Coin 2 Number of Heads X Coin 4 Coin 5 3 4 8 9. 10 11 12 13 14 15 16 17 18 19 20 Activity 2. Complete the table. Number of Heads Actual Probability Relative Frequency [Frequency of Occurrence + Total Number of Times the Coins Were Tossed] (Approximate probability) Frequency of X Occurrence 0.031 0.156 1 0.313 0.313 3 0.156 0.031 4 5 Task: 1. Compare the approximate probability values and the actual probability values. 2. How would you make the approximate probability values very close to the actual probability values?
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