Checking and securing calculating probabilities from tables

12 questions

1. Here are three decks of cards.A single card from each of Deck 1, Deck 2, and Deck 3 is drawn to make a trio.What is the probability that this trio of cards contains a square number?
2. Sam plays a video game that can either be won or lost.The probability that Sam wins the video game is 0.42.The probability that Sam loses the video game is ___.
3. This table shows the mutually exclusive and exhaustive set of outcomes, and the probability of each outcome, from spinning a spinner once.The value of x is ___.
4. Which of these statements are correct for this frequency tree?
5. Each card on a deck of 7 cards has a unique integer written on it. A = {factors of 6}, B = {numbers ≥ 6}.What positive integer could be on the seventh card for events A and B to not be exhaustive?
6. A game can either be won by either Alex, Sam, or Jacob.P(Sam wins) = ___.
7. Students were asked whether they walked to school or used other transport methods, and how long their journey took them. Find the probability a student had a journey of over 15 minutes.
8. A spinner with outcomes {1, 2, 3, 5, 9, 15} is spun twice. The outcome of each spin is added together.Find P(multiple of 10).
9. A spinner with outcomes {1, 2, 3, 5, 9, 15} is spun twice. The outcome of each spin is added together.Find P(not a prime number).
10. People at a bus station were surveyed their age and where their destination was.Match each frequency from the table to its value.
11. People at a bus station were surveyed their age and where their destination was.A person is chosen at random. Find P(60 or over and going to Rowanwood).
12. People at a bus station were surveyed their age and where their destination was.A person going to Oakfield is chosen at random. Find P(under 60).

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