used and betrayed asked: Probability Questions
1. A standard six sided die is rolled.
a) List the sample space for this experiment.
b) Determine the probability of obtaining the following.
i) a 5
ii) an even number
iii) a 1 or 2
iv) less than 5
v) a prime number
vi) a number which is a factor of 60
vii) a 7
2. A card is drawn at random from a standard well shuffled pack. Find the probability of drawing:
a) the king of clubs
b) a seven
c) a jack or queen
d) a diamond
e) a black card
f) a four or a heart
g) not an ace
3. A shopping centre carpark has spaces for 12 buses, 170 cars and 18 motorbikes. If all vehicles have an equally likely chance of leaving at any time, find the probability that the next vehicle to leave will be:
a) a car
b) a motorbike or bus
c) not a bus
4. A lucky dip at a school fete contains 10 yoyos, 12 matchbox cars, 15 lolly bags and 13 hair clips. If a prize is selected at random, what is the probability of choosing the following:
a) a matchbox car
b) a lolly bag
c) a yoyo or hair clip
d) not a hair clip
5. Scrabble is a game where letter tiles are used to create words. If all the letters of the alphabet and two blanks are placed in a bag and one is selected, determine the probability of choosing:
a) a blank
b) the letter T
c) a vowel
d) a consonant
e) an X, Y or Z
6. A small bag of M&M’s contains 5 red, 4 blue, 3 green and 2 yellow.
a) If Jess chooses one M&M to eat what is the probability it is red?
b) If the first M&M chosen was red what is the probability that the next M&M will also be red?
c) If the first M&M that Jess chooses is blue, what is the probability that the second M&M she chooses will not be blue?
7. A pack of 52 playing cards is well shuffled. What is the probability of:
a) dealing a jack
b) the next second dealt being an ace if the first card dealt was the two of hearts which was not replaced
c) the third card being dealt is a black card if the the first two card dealt were the ace of hearts and the ace of spades, neither of which were replaced.
8. In a 12 pack of chips there are 4 plain, 3 bbq, 4 salt and vinegar and 1 chicken flavoured packets. Packets are removed without looking in the bag. Determine the probability of choosing:
a) a bbq flavoured packet from the bag
b) a chicken flavoured packet if one chicken flavoured packet has already been removed
c) a salt and vinegar packet if a plain packet has already been chosen
d) a plain packet if one plain packet has already been removed
e) a plain packet if two plain packets have already been removed
9. Tina spun the following spinner twice.
a) Draw a tree diagram to determine all the possible outcomes.
b) What is the probability that both numbers spun are the same?
c) What is the probability that both numbers are even?
d) What is probability that one number is even and the other is odd?
e) What is probability that both numbers add up to four?
10. A coin is tossed and a six sided die is rolled.
a) Draw a lattice diagram to determine all the possible outcomes.
b) What is the probability of obtaining a tail and the number 2?
c) What is probability of obtaining a head and an odd number?
d) What is probability of obtaining a tail and a square number?
11. Three coins are tossed. Draw a tree diagram to determine all the possible outcomes, and calculate the probability of obtaining two tails and one head?
12. Two six sided die are rolled. Draw a tree diagram to determine all the possible outcomes and calculate the probability of the two uppermost numbers adding to 7?
Please and thank you!
