Biology 40S Name PROBABILITY AND INHERITANCE – Lab 2: MENDELLIAN INHERITANCE /30 Pre-Lab: A Brief Review Mendel’s Postulates Law of dominance: one form of an allele masks a different allele of the gene when different alleles are present for the same trait. Law of segregation: during gamete formation (egg or sperm), the genes for a trait separate, so that each gamete has only one allele form of the genes for the trait. Law of independent assortment: as gametes form, the genes for various traits separate independently of one another. Mendel studied “factors” that caused traits. Today, we call these factors “genes” and versions of the genes are called “alleles”. The Law of Probability We will be applying the law of probability in our study on heredity. This is a mathematical law that expresses outcomes of an event as ratios or percent probability. It depends on the number of outcomes. e.g. If there are two outcomes only, the law of probability states that the probability is ½ or 50%. OBJECTIVES: In this lab you will Use pennies to simulate Mendel’s postulates of trait behaviour Apply Mendel’s postulates and the law of probability For each part, you will develop a written purpose Create an appropriate chart to display data meaningfully for Part I MATERIALS: 2-pennies masking tape pen or pencil and paper In your lab write up, you will need to compose a purpose for each part of this lab. The purpose should include an explanation of how the procedure relates to one or more of Mendel’s postulates. Next is the data (charts, tables, and/or anecdotes), followed by the results questions. Be sure to label charts, tables, answers for each part, well. This lab handout goes on the FRONT of the lab. Part I: Data table – 3 mks Part II: Data table – 3 mks Part III: Data Collection – 1 mk Purpose – 2 mks Purpose – 2 mks Purpose – 2 mks Questions – 3 mk Questions – 5 mk Questions – 9 mk Total – 8 mks Total – 10 mks Total – 12 mks TOTAL – 30 mks PROCEDURES: Part I. Occurrence of a Single Event Read the instructions below. You may first wish to record RAW DATA, and then later create a suitable data chart that records all the data you will be collecting. The data table should include headings for HEADS TAILS. It should display the data for 20 tosses, 30 tosses and 50 tosses separately (yet together), as well as a total. This requires planning. 1. Applying the law of probability, if you were to toss a penny 20 times, how many times do you expect it to land on heads? tails? Record this data as EXPECTED OUTCOME. 2. Do step 1 for 30 tosses and 50 tosses. Record your expected outcomes. 3. Use a single penny and toss it 20 times. Have a partner keep track of the number of times it lands tails up. Record the number of tails and heads data as OBSERVED OUTCOME. 4. Repeat step 3 for 30 tosses, and again for 50 tosses. 5. Calculate DEVIATION between your EXPECTED outcome and OBSERVED outcomes. To do this, calculate the absolute value when you subtract the expected from the observed. 6. Total up all tosses (100 tosses) and record the number of times it landed tails up and heads up. Record the expected outcome for 100 tosses. Calculate the total deviation. Results Discussion Questions for Part I. Purpose: (2) Data Table (3) # Tosses Expected Outcome Heads Tails Observed Outcome Heads Tails Deviation Deviation % Deviation = ------------ x 10 Expected Expected – Observed 20 30 50 100 1. Did your observed data results always agree with the expected ratio? If not what would be a reason for the deviation? (1) 2. Compare the deviations from the expected 20, 30, 50 tosses. What seems to be the relationship between the sample size and the deviation? If the sample size where larger (class totals), what would you expect the deviation to approach? (2) /8 2 Part II. Independent Evens Occurring Simultaneously Using the lab of probability, when there are four equally likely outcomes from a procedure, the probability that one of the outcomes will occur is ¼ or 25%. Determine the EXPECTED outcome of 40 tosses of two coins that you will get heads-heads, heads-tails, tails-head, and tails-tails. Use a table similar to the one suggested below. Give it a suitable title. 1. Toss 2 pennies simultaneously for 40 tosses. Have your partner keep track of how many times you get heads-heads, heads-tails (tails-head will also occur but it will be counted the same as heads-tails for data), and tails-tails. 2. Calculate the percent probabilities you OBSERVED by taking your observed number divided by 40 times 100. 3. Calculate the deviation by subtracting the expected from the observed. Data Table (3) Combinations Heads-Heads Heads-Tails/Tails-Heads Tails-Tails TOTAL Expected % Observed % Deviation 40 100 40 100 ---------------- Results Discussion Questions for Part II. Purpose: (2) 1. How closely did your results agree with the expected percentage? Account for possible reasons for a high deviation from expectation. (1) 2. If you were to toss the coins simultaneously 400 times, would you expect the deviation to be greater or less than it was in tossing them 40 times? Explain why. (2) 3. How do Parts I and II relate to Mendel’s postulates? Discuss. (2) /10 3 Part III. Probability and Mendel Ian Genetics The law of probability is used to predict the probability of given genetic traits appearing in offspring of particular parents. Punnett squares are often used to show these predictions. When gametes are formed the pair of genes that determine a particular trait separate, and one form of the gene goes to each gamete. When fertilization occurs, a male and female gamete fuse. The resulting zygote now contains two genes (alleles) for the trait. Which two of the parent’s genes appears in the zygote is a result of chance. For our example, we will consider the inheritance in pea plants of round and wrinkled peas. o R = round and r = wrinkled. 1. Place a small piece of masking tape on each side of two pennies. Each penny represents a single parent. Each side of one penny represents one allele on one gene. 2. On one penny write R on each side. i.e. “RR” homozygous dominant 3. On the other penny write “r” on each side. i.e. “rr” homozygous recessive 4. Toss the pennies ten times. In your data collection, write down your observations. 5. Replace the tape with new tape. On each penny, write R on one side and “r” on the other so that each “parent” is heterozygous. 6. Toss the pennies 10 times. In your observations, write the combinations of genes that appear. 7. For each combination of genes (genotype) write the phenotype and its ratio. Results Discussion Questions for Part III. Purpose: (2) Data Collection: (1) RR x rr outcomes: Genotypes Phenotypes Genotypic Ratio Phenotypic Ratio Rr x Rr outcomes: Genotypes Phenotypes Genotypic Ratio Phenotypic Ratio 1. What was the genotypic ratio when an RR plant was crossed with an rr plant? Explain. (2) 2. Would the offspring have been round peas or wrinkled peas? Explain. (2) 3. Describe the genotypic ratio you would expect from crossing an Rr plant with an Rr plant. If you tossed your coins 40 times, how many would you expect to be RR, Rr, rr? Explain. (2) 4. Complete a Punnett square like the one below for the cross of Rr and Rr plants. Explain how the Punnett square relates to our lab results. (1) R r R r 5. Discuss how Part III relates to Mendel’s Law of Dominance and Independent Assortment. (2) /12 4