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In a school contest, each student draws a number card from 1 to 5 at random out of a basket. The card is replaced after each student. The outcomes are shown in the table below. Number Drawn & 1 & 2 & 3 & 4 & 5 Number of Times Drawn & 63 & 79 & 88 & 72 & 85 Based on the data, what is the experimental probability of drawing a 3 ? (1)/(5) (70)/(407) (8)/(37) (20)/(37)

Question

In a school contest, each student draws a number card from 1 to 5 at random out of a basket. The card is replaced after each student. The outcomes are shown in the table below.

 Number Drawn & 1 & 2 & 3 & 4 & 5 
 Number of Times Drawn & 63 & 79 & 88 & 72 & 85 


Based on the data, what is the experimental probability of drawing a 3 ?
 (1)/(5) 
 (70)/(407) 
 (8)/(37) 
 (20)/(37)

In a school contest, each student draws a number card from 1 to 5 at random out of a basket. The card is replaced after each student. The outcomes are shown in the table below. Number Drawn & 1 & 2 & 3 & 4 & 5 Number of Times Drawn & 63 & 79 & 88 & 72 & 85 Based on the data, what is the experimental probability of drawing a 3 ? (1)/(5) (70)/(407) (8)/(37) (20)/(37)

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MasonProfessional · Tutor for 6 years

Answer

The experimental probability of an event is calculated by dividing the number of times the event occurred by the total number of trials.<br /><br />Step 1: Identify the total number of trials. This is the sum of the "Number of Times Drawn" for all numbers. So, we add 83, 79, 88, 72, and 85. <br /><br />83 + 79 + 88 + 72 + 85 = 407<br /><br />Step 2: Identify the number of times the event of interest (drawing a 3) occurred. According to the table, the number 3 was drawn 88 times.<br /><br />Step 3: Calculate the experimental probability by dividing the number of times the event occurred (88) by the total number of trials (407).<br /><br />So, the experimental probability of drawing a 3 is 88/407.<br /><br />Therefore, the correct answer is \(\frac{88}{407}\).
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