Question

a die is rolled 200 times with the following results.
outcome\t1\t2\t3\t4\t5\t6
frequency\t32\t36\t44\t20\t30\t38
what is the experimental probability of rolling the given result?
a number more than 3
a. \t0.88\t\t\tc. \t0.56
b. \t0.34\t\t\t\td. \t0.44

please select the best answer from the choices provided

Explanation:

Step1: Identify outcomes >3

Numbers more than 3 on a die are 4, 5, 6. Find their frequencies: 20 (for 4), 30 (for 5), 38 (for 6).

Step2: Sum the frequencies

Sum = \(20 + 30 + 38 = 88\)

Step3: Calculate experimental probability

Experimental probability = \(\frac{\text{Sum of frequencies of outcomes >3}}{\text{Total number of trials}}\) = \(\frac{88}{200} = 0.44\)? Wait, no—wait, 20+30+38=88? Wait 20+30=50, 50+38=88. Total trials=200. Wait 88/200=0.44? But wait, no—wait, maybe I miscalculated. Wait 4,5,6: frequencies 20,30,38. Sum: 20+30=50, 50+38=88. 88/200=0.44? Wait but let's check again. Wait the options: d is 0.44. Wait but let's confirm.

Wait, experimental probability formula: \(P = \frac{\text{Number of times event occurs}}{\text{Total number of trials}}\). Event: rolling a number more than 3 (i.e., 4,5,6). Number of times event occurs: frequency of 4 + frequency of 5 + frequency of 6 = 20 + 30 + 38 = 88. Total trials: 200. So \(P = \frac{88}{200} = 0.44\). So the answer is d. Wait but let me check the options again. Option d is 0.44. So that's correct.

Answer:

d. 0.44