9.05 Expected outcomes
A spinner is divided equally into 5 sections, with 2 sections colored white.
Find the probability of landing on white.
If the spinner is spun 685 times, how many times would you expect it to land on white?
A fair die is rolled 18 times.
Find the probability of getting a 1 on a single roll of a die.
How many times would you expect a 1 to come up in the 18 rolls?
260 fair dice are rolled.
Calculate the probability of getting an even number on a single roll of a die.
How many times would you expect an even number to come up on the 260 dice?
If Maria rolls a die 48 times, how many two's would she expect to come up?
If Buzz flips a coin 96 times, how many tails would he expect to come up?
Valerie flips 3 coins at once and repeats this 40 times.
For each time that Valerie flips 3 coins at once, find the probability that all 3 coins show heads.
Now find the probability that at least 1 of the coins shows tails.
How many times can she expect 3 heads to come up at once in the 40 trials?
How many times can she expect at least 1 tail to come up in the 40 trials?
Dave rolls 2 dice at once and repeats this 36 times.
How many times can he expect the number 3 to appear in total?
How many times in total can he expect an even number to appear on a die?
Uther decided to flip a coin 14 times.
How many times would he expect a tail to appear?
After he finished flipping the coins, he noticed that tails had appeared 4 times. Find the experimental probability of getting tails.
Hermione rolled a die 60 times.
How many times would he expect a six to appear?
After she finished rolling the die, she noticed that she had rolled a six 54 times. Find the experimental probability of getting a six.
Derek spun the following spinner 20 times:
How many times would he expect the arrow to land on X?
After he finished spinning, he noticed that the arrow fell on X 8 times. Find the experimental probability of getting an X.
Oprah has a bag with 2 red balls, 2 blue balls, and 2 green balls in it. She took a ball out of the bag and returned it 24 times.
How many times would she expect to get a green ball?
After she finished, she noticed that she had drew a green ball 18 times. Find the experimental probability of getting a green ball.
Georgia is drawing a card out of a deck of 10 cards, labeled from 1 to 10. She drew a card and returned it 40 times.
How many times would she expect to get the card with 6 on it?
After she finished, she noticed that she had drew the 6 card 6 times. Find the experimental probability of getting the 6 card.
40 people are given Drug X for the treatment of a disease. Drug X has a success rate of 30 \%. What is the expected number of participants who will be treated successfully?
On average, about 60\% of commuters use public transport. In a sample of 200 commuters, how many would you expect to use public transport?
Sally enters a raffle every week where 130 tickets are sold each week. Find the number of times she can expect to win in a half-year period if she purchases:
1 ticket every week.
10 tickets every week.
A car manufacturer found that 1 in every 4 cars they were producing had faulty brake systems. If they had already sold 5060 cars, how many of those would they expect to need to be repaired?
The following table shows the results of multiple coin tosses with a biased coin:
| Heads | Tails | |
|---|---|---|
| Frequency | 62 | 38 |
How many times was the coin tossed?
Find the experimental probability of tossing a head.
Find the experimental probability of tossing a tail.
If this coin was tossed 600 times, how many times would you expect it to land on a head?
If this coin was tossed 800 times, how many times would you expect it to land on a tail?
A biased coin is tossed 100 times and the results are presented in the table below.
Find how many times you would expect the coin to land on a tail if the coin was tossed:
400 times
500 times
600 times
920 times
| Heads | Tails | |
|---|---|---|
| Frequency | 44 | 56 |
1000 transistors were tested at a factory, and 12 were found to be faulty.
Find the experimental probability that a transistor at this factory will be faulty.
If another 5000 transistors were tested, how many of these would you expect to be faulty?
Amelia selects a card 260 times from a standard deck of 52 cards, with replacement.
How many diamonds can she expect to draw?
How many black cards can she expect to draw?
How many royal cards (Kings, Queens and Jacks) can she expect to draw?
How many times can she expect to draw the King of diamonds?
A card is selected at random from a standard deck of cards. The result is recorded and the card is placed back in the deck. This is repeated multiple times. Consider the two tables below.
Table 1
| Color | Frequency |
|---|---|
| \text{Black} | 54 |
| \text{Red} | 55 |
Table 2
| Suit | Frequency |
|---|---|
| \text{Spade} | 21 |
| \text{Heart} | 34 |
| \text{Diamond} | 21 |
| \text{Club} | 33 |
In which table are the results closest to the expected outcome?
A bag contains 29 yellow marbles, 21 blue marbles and 10 pink marbles. If a marble is randomly selected from the bag 300 times with replacement, find the number of times that you would expect to pick a marble that is:
Yellow
Blue
Pink
Yellow or pink
Blue or pink
Yellow, blue or pink
In the lead-up to an election, a group of people were asked which candidate they will vote for. The following table summarizes the results of the survey:
How many people were surveyed?
According to these results, if 4\,576\,100 voters are expected to vote in the next election, how many of those votes would be for Candidate C?
| Candidate | Number of people |
|---|---|
| \text{A} | 79 |
| \text{B} | 96 |
| \text{C} | 93 |