Toss one dime and roll one die. Predict how many times you would flip heads and roll an odd number in 120 tries.
To predict how many times you would flip heads and roll an odd number in 120 tries, we can start by figuring out the probabilities of each event happening.
Flipping a dime:
Since there are two possible outcomes (heads or tails) when flipping a dime, the probability of flipping heads is 1/2 and the probability of flipping tails is also 1/2.
Rolling a die:
A die has six sides, numbered 1 through 6. Half of these numbers are odd (1, 3, and 5) and half are even (2, 4, and 6). So, the probability of rolling an odd number is 3/6 or 1/2.
Multiplying the probabilities:
The probability of flipping heads and rolling an odd number in one try is calculated by multiplying the probabilities of each event happening: (1/2) * (1/2) = 1/4.
Number of tries:
Given that there are 120 tries, the expected number of times you would flip heads and roll an odd number can be calculated by multiplying the probability of the events happening together by the number of tries: (1/4) * 120 = 30.
Therefore, in 120 tries, you would expect to flip heads and roll an odd number around 30 times.
To predict the number of times you would flip heads and roll an odd number in 120 tries, we need to determine the probabilities of each event happening.
Flipping a dime:
Since there are two possibilities for flipping a dime - heads or tails - the probability of flipping heads is 1/2.
Rolling a die:
There are six possible outcomes when rolling a die - 1, 2, 3, 4, 5, or 6. Half of these outcomes are odd numbers, so the probability of rolling an odd number is 1/2.
Using these probabilities, we can calculate the expected number of times each event will occur in 120 tries.
Number of times of flipping heads:
1/2 (probability of flipping heads) × 120 (number of tries) = 60 times
Number of times of rolling an odd number:
1/2 (probability of rolling an odd number) × 120 (number of tries) = 60 times
Therefore, in 120 tries, you can expect to flip heads and roll an odd number approximately 60 times for each event.