13.08 Conditional probability
Interactive practice questions
An individual is chosen from the group. According to the Venn diagram,
What is the probability that the person walks?
If the person chosen has been recorded as walking, what is the probability that they also run?
Two sets of numbers, $A$A and $B$B, are such that set $A$A contains the even numbers from $1$1 to $20$20, inclusive, and set $B$B contains the factors of $48$48 from $1$1 to $20$20, inclusive.
At a university there are $816$816 students studying first year engineering, $497$497 of whom are female (set $F$F). $237$237 of these women are studying Civil Engineering, and there are $348$348 students studying Civil Engineering altogether (set $C$C).
At an Italian restaurant, Alessandra orders an entree, main and dessert. She has $2$2 entrees, $3$3 mains and $2$2 desserts to choose from.
Entrees: calamari, soup
Mains: spaghetti, lasagna, risotto
Dessert: gelato, tiramisu