Question

A previous year, the weights of the members of the San Francisco 49ers and the Dallas Cowboys were published in the San Jose Mercury News. The factual data are compiled into $Table3.24.$

For the following, suppose that you randomly select one player from the 49ers or Cowboys. If having a shirt number from one to 33 and weighing at most 210 pounds were independent events, then what should be true about $P(Shirt\#1–33|\le 210pounds)$?

Short answer

$P(Shirt\#1–33|\le 210pounds)=\frac{21}{33}$

Step-by-step solution

Given information

The factual data were compiled into the following table.

Shirt#	≤210	211–250	251–290	>290	Total
1–33	21	5	0	0	26
34–66	6	18	7	4	35
66–99	6	12	22	5	45
Total	33	35	29	9	106

Explanation

For the following, suppose that you randomly select one player from the 49ers or Cowboys. If having a shirt number from one to 33 and weighing at most 210 pounds were independent events,

The probability that his shirt number is from 1 to 33GIVEN that he weighs at most 210 pounds.

$P(\overline{)1to33}\le 210)=\frac{21}{33}$