1) What is the probability of winning the jackpot if you play the Florida Lotto?
2) What is the probability of winning the jackpot if you play Mega Millions?
3) What is the probability of winning the jackpot if you play Powerball?
Tall versus Short
All tall
787 tall
277 short
Smooth versus Wrinkled
Seeds
All smooth seeds
5,474 smooth
1,850 wrinkled
Yellow versus Green
Seeds
All yellow seeds
6,022 yellow
2,001 green
From the table and the theoretical results answer questions 1 and 2.
1) Assume that we are crossbreeding genetically pure tall plants with genetically pure short plants. Create a table, like we did for yellow and green plants, indicating the possible combinations of tall and short peas.
What is the theoretical probability that a second-generation plant will be short?
What is the experimental probability that a second-generation plant will be short?
How do theoretical and experimental probabilities compare?
2) Assume that we are crossbreeding genetically pure smooth-seed plants with genetically pure wrinkled-seed plants. Create a table, like we did for yellow and green plants, indicating the possible combinations of smooth-seed plants and wrinkle-seed plants.
What is the theoretical probability that a second-generation plant will have smooth seeds?
What is the experimental probability that a second-generation plant will be short?
How do theoretical and experimental probabilities compare?
im doing this now HELLLLP
1) To determine the probability of winning the jackpot in the Florida Lotto, Mega Millions, and Powerball, we need to know the number of possible outcomes (winning combinations) and the total number of possible outcomes (all combinations).
For the Florida Lotto, the probability of winning the jackpot depends on the specific game rules and the numbers you choose. Typically, you need to match all six numbers drawn to win the jackpot. To find the probability, divide the number of winning combinations (1) by the total number of possible combinations. The total number of combinations depends on the range of numbers available and the number of numbers you need to select.
To find the probability for Mega Millions and Powerball, you would follow a similar process, considering the specific game rules and the number of balls drawn. The probability would be the same: the number of winning combinations divided by the total number of possible combinations.
Unfortunately, the specific number of winning and total combinations is not provided in your question, so it's not possible to provide an exact answer.
2) The question asks about crossbreeding genetically pure plants. By crossbreeding a tall plant (T) with a short plant (t), we can determine the possible combinations of tall and short peas in the second generation.
The possible combinations would be:
- TT (tall)
- Tt (tall)
- tT (tall)
- tt (short)
This means there are four possible combinations: three tall (classified as Tt or tT) and one short (classified as tt) plants. Therefore, the theoretical probability of a second-generation plant being short is 1 out of 4 or 1/4.
To calculate the experimental probability, you would need to conduct the crossbreeding experiment and observe the actual number of short plants in the second generation. The experimental probability is the observed number of short plants divided by the total number of plants in the second generation.
Without further information or data about the experiment, it is not possible to provide the experimental probability or compare it to the theoretical probability.
3) Similarly, by crossbreeding genetically pure smooth-seed plants with wrinkled-seed plants, we can determine the possible combinations of smooth-seed and wrinkled-seed plants in the second generation.
The possible combinations would be:
- SS (smooth-seed)
- SW (smooth-seed)
- WS (smooth-seed)
- WW (wrinkled-seed)
This means there are four possible combinations: three smooth-seed (classified as SS, SW, or WS) and one wrinkled-seed (classified as WW) plants. Therefore, the theoretical probability of a second-generation plant having smooth seeds is 3 out of 4 or 3/4.
To calculate the experimental probability, you would need to conduct the crossbreeding experiment and observe the actual number of plants with smooth seeds in the second generation. The experimental probability is the observed number of smooth-seed plants divided by the total number of plants in the second generation.
Without further information or data about the experiment, it is not possible to provide the experimental probability or compare it to the theoretical probability.