9.03 Probability as a number
State the likelihood that corresponds to each of the following probabilities our of the following: Impossible, Unlikely, Likely or Certain.
0.1
1
0
0.6
\dfrac{9}{10}
\dfrac{2}{10}
10\%
70\%
\dfrac{4}{5}
\dfrac{1}{8}
Estimate the probability of the following events:
It will rain somewhere in America sometime this month.
You meet someone today and correctly guess their birthday.
Which of these events has a probability closer to 0.25?
You roll a six-sided die and get a 5 or more.
You find \$100 on the ground today.
Which of these events has a probability closer to 0.75?
You flip a coin ten times and get at least one tails.
You roll a twelve-sided die and get 3 or more.
Given an event with a probability of 4\%, determine whether the following statements are true or false:
It is likely to occur.
It is unlikely to occur.
It should occur 4 times every 100 trials.
It should occur 2 times every 100 trials.
It should occur 20 times every 500 trials.
It should never occur.
Find the probability of the following events:
You roll a six-sided die and get 5 or more.
An event that will never occur.
An event that will occur 2 times every 50 trials.
An event that will occur 2 times every 100 trials.
An event that will occur 2 times every 500 trials.
A twelve-sided die is rolled.
Find the probability of rolling 5 or more.
Find the probability of rolling less than 5.
Find the probability of rolling 3 or more.
Consider the spinner shown:
Find the probability of getting a:
Apple
Ball
Pig
Star
Consider the following spinner:
Find the probability of spinning:
A pig.
A ball or a pig.
A pig or an apple.
An apple or a star.
For each of the following spinners, find the probability of getting a star. Write your answer as a percentage.
A jar contains 10 marbles in total. Some of the marbles are blue and the rest are red.
If the probability of picking a red marble is \dfrac{4}{10}, how many red marbles are there in the jar?
Find the probability of picking a blue marble.
Paul has 23 marbles in a bag and 4 of them are black. Paul picks a marble from the bag without looking. Find the probability that Paul picks a black marble.
Consider the following spinner:
Find the probability of getting the following shapes. Simplify your answers.
An apple.
A pig.
An elephant.
A ball.
A pig or a ball.
Anything but an apple.
An elephant, a star or a teddy bear.
Anything but a ball or teddy bear.
Determine whether the following events have a probability less than 10\%.
Spinning a teddy bear.
Spinning a star.
Spinning an apple.
Spinning a ball or an elephant.
A single marble is drawn from the following jar 5 red, 7 blue and 8 black marbles:
Find the probability of drawing a blue marble. Give your answer as a percentage.
Find the probability of drawing a blue marble or a red marble. Give your answer as a percentage.
A card is drawn from a standard deck of cards:
Find the probability of drawing the Jack of Hearts or the Jack of Clubs.
Rosey draws a 6 of Spades and puts it back in the deck and asks you to draw a card. Find the probability that you will draw a card with a number larger than 6, and the same color as Rosey's card.