Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Quantifying Randomness: Probability, Exercise 28: Chapter review

Two ordinary, fair, six-sided dice are thrown. One dice is red and the other is blue. Find the probability that the total of the two dice is $7$.

Two ordinary, fair, six-sided dice are thrown. One dice is red and the other is blue. Find the probability that the red dice is a $5$ given that the blue dice is a $4$.

Two ordinary, fair, six-sided dice are thrown. One dice is red and the other is blue. Find the probability that one of the dice is a $5$.

Two ordinary, fair, six-sided dice are thrown. One dice is red and the other is blue. Find the probability that one of the dice is a $5$ given that the total of the two dice is $7$.

Adrian has a box with $5$ red and $3$ green apples in it. He takes out an apple at random and eats it. He then takes out. another apple at random and also eats it. Find the probability that he eats two red apples.

Adrian has a box with $5$ red and $3$ green apples in it. He takes out an apple at random and eats it. He then takes out. another apple at random and also eats it. Find the probability that he eats two apples of different colours.

Sally also has a box with $5$ red and $3$ green apples in it. Sally is on a diet. She takes out an apple at random and then puts it back in the box. She then takes out another apple at random. Find the probability that she takes two red apples.

Sally also has a box with $5$ red and $3$ green apples in it. Sally is on a diet. She takes out an apple at random and then puts it back in the box. She then takes out another apple at random. Find the probability that she takes two apples of different colours.