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10.06 Conditional probability

Interactive practice questions

An individual is chosen from the group. According to the Venn diagram,

A Venn diagram consists of two intersecting circles. The left circle, excluding the intersection, is labeled "walk" and contains the number $8$8. The right circle, excluding the intersection, is labeled "run" and contains the number $6$6. The intersection of the two circles contains the number $10$10.
a

What is the probability that the person walks?

b

If the person chosen has been recorded as walking, what is the probability that they also run?

Easy
1min

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.

Easy
6min

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).

Medium
8min

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

Medium
5min
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MA11-7

uses concepts and techniques from probability to present and interpret data and solve problems in a variety of contexts, including the use of probability distributions

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