Question

20
select the correct answer from the drop-down menu.
a box contains shirts in two different colors and two different sizes. the number of shirts of each color and size are given in the table.

shirt color | size | |
--- | --- | --- | ---

large

medium

total

red | 42 | 48 | 90
blue | 35 | 40 | 75
total | 77 | 88 | 165

from the data given in the table, we can infer that
p(blue shirt | large shirt) = p(blue shirt)
p(shirt is medium and blue) = p(medium shirt)
p(large shirt | red shirt) = p(red shirt)
p(red shirt | large shirt) = p(large shirt)

Explanation:

Answer:

P(large shirt | red shirt) = $\frac{P(\text{red shirt} \cap \text{large shirt})}{P(\text{red shirt})}$
P(red shirt | large shirt) = $\frac{P(\text{red shirt} \cap \text{large shirt})}{P(\text{large shirt})}$
P(blue shirt | large shirt) = $\frac{P(\text{blue shirt} \cap \text{large shirt})}{P(\text{large shirt})}$
P(shirt is medium and blue) = P(medium shirt) $\times$ P(blue shirt)