Question

A survey of teens suggested that 33% can name at least one professional baseball player, and 90% of those teens can also name at least one professional football player. In the entire population, 64% can name at least one professional football player. What percentage of teens can name at least one player from these sports? (0.33)(0.64) = 0.2112 0.33 + 0.64 = 0.97 0.33 + 0.64 – (0.33)(0.64) = 0.7588 0.33 + 0.64 – (0.90)(0.33) = 0.673

Answer 1

Answer:

$d.\ 0.33 + 0.64 – (0.90)(0.33) = 0.673$

Step-by-step explanation:

Given

$P(Baseball) = 33\%$

$P(Baseball\ n\ Football) = 90\%$

$P(Football) = 64\%$

Required

$P(Baseball\ or\ Football)$

This is calculated as:

$P(Baseball\ or\ Football) =P(Baseball) + P(Football) -P(Baseball\ n\ Football)$

$P(Baseball\ or\ Football) = 0.33 + 0.64 - (0.90)(0.33)$

$P(Baseball\ or\ Football) = 0.33 + 0.64 - 0.297$

$P(Baseball\ or\ Football) = 0.673$