A number cube is rolled and a coin is flipped. Predict how many times you would get heads and a number less than 3 in 240 trials.
60
40
30
20
1/6 0f 240 is equal to 40
Less than 3 = 1 or 2 = 1/3 probability
Heads = 1/2
The probability of both/all events occurring is found by multiplying the individual events.
1/2 * 1/3 = 1/6
1/6 of 240 = ?
To predict how many times you would get heads and a number less than 3 in 240 trials, you can multiply the probabilities of getting heads and a number less than 3.
First, let's find the probability of getting heads on a coin flip. Since a coin has 2 sides (heads and tails), the probability of getting heads is 1/2.
Next, let's find the probability of getting a number less than 3 on a number cube roll. With a standard number cube, there are 6 possible outcomes: 1, 2, 3, 4, 5, and 6. The numbers less than 3 are 1 and 2, so the probability is 2/6 or 1/3.
To find the probability of getting both heads and a number less than 3, multiply the probabilities: (1/2) x (1/3) = 1/6.
In 240 trials, multiply the probability by the number of trials: (1/6) x 240 = 40.
Therefore, the predicted number of times you would get heads and a number less than 3 in 240 trials is 40.
To predict the number of times you would get heads and a number less than 3, you need to calculate the probability of each event happening and then multiply them together.
First, let's calculate the probability of getting a number less than 3 when rolling a number cube. The numbers less than 3 are 1 and 2, so there are 2 favorable outcomes out of the 6 possible outcomes. Therefore, the probability is 2/6 or 1/3.
Secondly, let's calculate the probability of getting heads when flipping a coin. Since a coin has two sides - heads and tails - there is 1 favorable outcome (heads) out of the 2 possible outcomes. Therefore, the probability is 1/2.
To find the probability of both events happening, we multiply the individual probabilities together:
Probability of getting heads and a number less than 3 = (Probability of getting a number less than 3) × (Probability of getting heads)
= (1/3) × (1/2)
= 1/6
Now, to predict the number of times you would get heads and a number less than 3 in 240 trials, multiply the probability by the total number of trials:
Number of times = Probability of event happening × Total number of trials
= (1/6) × 240
= 40
Therefore, the predicted number of times you would get heads and a number less than 3 in 240 trials is 40.