Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Quantifying Randomness: Probability, Exercise 4: Exercise 8A

Each letter of the word $\mathrm{STATISTICS}$ is written on a separate card. The $10$ cards are placed face down and a card is drawn at random.

What is the probability of picking a card with the letter $C.$

Each letter of the word $\mathrm{STATISTICS}$ is written on a separate card. The $10$ cards are placed face down and a card is drawn at random.

What is the probability of picking a card with the letter $P$.

Each letter of the word $\mathrm{STATISTICS}$ is written on a separate card. The $10$ cards are placed face down and a card is drawn at random.

What is the probability of picking a card with a vowel.

A bag contains $50$ discs numbered $1$ to $50$. A disc is selected at random. Find the probability that the number on the disc is an even number.

A bag contains $50$ discs numbered $1$ to $50$. A disc is selected at random. Find the probability that the number on the disc has the digit $1$ in it.

A school has five buses for transporting students. Four of them are minibuses with the same number of seats and there is a large coach which has three times the number of seats as a minibus. A student is allocated to a bus. What is the probability that the student is allocated to the coach given that seats are allocated at random until all of them are filled?

A spinner has sections that are coloured red, blue, green and yellow. The probabilities of getting a red and getting a blue are shown in the table. The probability of getting green is twice that of getting yellow.

Find the probability of getting green.

At a school charity fundraising gala Sebastian decides to buy a ticket for the raffle. There are $360$ people at the gala in total. Half of the people at the gala buy raffle tickets. Of those who buy raffle tickets, half buy two raffle tickets and the rest buy one ticket. There is only one winner of the raffle. What is the probability that Sebastian will win?