A particular baseball player gets, on average, three hits for every ten times he
ID: 3290550 • Letter: A
Question
A particular baseball player gets, on average, three hits for every ten times he comes to bat. In a typical game, he comes to bat five times. Use the random numbers table below to simulate his hitting in ten games. Let an entry in the table correspond to one time at bat, 0-2 corresponds to getting a hit, and 3-9 corresponds to not getting a hit. The highlighted numbers were selected at random, and a different one should be used to start each of the player's simulated games. That is, use a highlighted number and the four numbers below it to represent his batting in one game. In how many of the ten simulated games did he get only one hit? 1 0 4 8 0 2 2 3 6 8 2 4 1 3 0 4 2 1 6 7 3 7 5 7 0 7 7 9 2 1 9 9 5 6 2 9 6 3 0 1 8 9 5 7 9 8 5 4 7 5 2 8 9 1 8 6 3 5 5 3 0 9 4 2 9 1 0 3 6 5 1 0 3 6 5 0 7 2 1 9 5 1 0 8 5 0 2 3 6 8 0 1 0 1 1 5 2 1 6 2 A) 4 B) 5 C) 6 D) 7
Explanation / Answer
Results of simulation are tabulated below:
Game #
Random numbers picked
Hits
# hits
1
7 7 9 2 1
2 1
2
2
9 9 5 6 2
2
1
3
9 6 3 0 1
0 1
2
4
1 8 9 5 7
1
1
5
9 8 5 4 7
nil
0
6
5 2 8 9 1
2 1
2
7
8 6 3 5 5
nil
0
8
3 0 9 4 2
0 2
2
9
9 1 0 3 6
1 0
2
10
5 1 0 3 6
1 0
2
As can be seen from the last column of the above table, two of the ten simulated games the player got only one hit. ANSWER
Game #
Random numbers picked
Hits
# hits
1
7 7 9 2 1
2 1
2
2
9 9 5 6 2
2
1
3
9 6 3 0 1
0 1
2
4
1 8 9 5 7
1
1
5
9 8 5 4 7
nil
0
6
5 2 8 9 1
2 1
2
7
8 6 3 5 5
nil
0
8
3 0 9 4 2
0 2
2
9
9 1 0 3 6
1 0
2
10
5 1 0 3 6
1 0
2
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