There is a number cube with faces numbered 1 to 6. There is also a coin with one side marked as heads and the other tails.As a trial of an experiment, the number cube was rolled and the coin flipped. The number 1 to 6 from the roll and the side H for heads and T for tails of the coin from the flip were recorded.Here is a summary of the data from 70 trials.Outcome 1H 2H 3H 4H 5H 6H 1T 2T 3T 4T 5T 6TNumber of trials 3 7 7 3 8 5 8 5 6 6 4 8Answer each part.(a) Use the data to find the experimental probability of this event: both rolling an even number and flipping heads, in a single trial. Round your answer to the nearest thousandth.(b) Assuming the cube and the coin are fair, find the theoretical probability of this event: both rolling an even number and flipping heads, in a single trial. Round your answer to the nearest thousandth.(c) Choose the statement that is true.

There is a pack of four cards numbered 1 to 4. There is also a coin with one side marked as heads and the other tails.As a trial of an experiment, a card was drawn and the coin was flipped. The number 1 to 4 of the card and the side H for heads and T for tails of the coin from the flip were recorded.Here is a summary of the data from 60 trials.Outcome 1H 2H 3H 4H 1T 2T 3T 4TNumber of trials 5 7 9 11 5 10 6 7Answer each part.(a) Use the data to find the experimental probability of this event: both drawing the 1, 3, or 4 card and flipping heads, in a single trial. Round your answer to the nearest thousandth.(b) Assuming the card was chosen at random and the coin is fair, find the theoretical probability of this event: both drawing the 1, 3, or 4 card and flipping heads, in a single trial. Round your answer to the nearest thousandth.(c) Choose the statement that is true.

Leanne is conducting a probability experiment using a number cube with faces labeled from 1 to 6. Leanne rolled the number cube 40 times and recorded the number showing on top for each roll. The table shows the results. Number Cube ExperimentNumber Showing on Top Face Frequency1 72 93 64 35 76 8Based on these results, what is the experimental probability that the next time Leanne rolls the number cube that it will land with 1 or 6 showing on the top face?ResponsesA 585 8B 1151 15C 383 8D 26

number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.Outcomes ProbabilityEEE EOO OEE OEO EEO EOE OOO OOEEvent A: No even numbers on the last two rolls 18Event B: Two or more even numbers 12Event C: An even number on the second roll or the third roll (or both) 34

A fair coin has 2 sides : 1 side is heads and 1 side is tails. A fair cube has 6 sides: 2 sides are solid green, 2 sides are solid yellow, and 2 sides are solid red. The coin and the cube are each tossed once. What is the probability they will land so that the side facing up on the coin is tails and the side facing up on the cube is yellow?

The probability is 1/2 that a coin will turn up heads on any given toss and the probability is 1/6 that a number cube with faces numbered 1 to 6 will turn up any particular number. What is the probability of turning up heads and a 6?1/36