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Ch. 2 - Transmission Genetics
Sanders - Genetic Analysis: An Integrated Approach 3rd Edition
Sanders3rd EditionGenetic Analysis: An Integrated ApproachISBN: 9780135564172Not the one you use?Change textbook
All textbooksSanders 3rd EditionCh. 2 - Transmission GeneticsProblem 19c
Chapter 2, Problem 19c

If two six-sided dice are rolled, what is the probability that the total number of spots showing is


greater than 5?

Verified step by step guidance
1
Understand the problem: You are rolling two six-sided dice, and you need to calculate the probability that the sum of the numbers on the two dice is greater than 5.
Determine the total number of possible outcomes: Each die has 6 faces, so the total number of outcomes when rolling two dice is 6 × 6 = 36.
List all possible outcomes where the sum of the two dice is greater than 5. For example, if the first die shows 1, the second die must show at least 5 to achieve a sum greater than 5. Repeat this for all possible values of the first die (1 through 6).
Count the number of favorable outcomes where the sum is greater than 5. This involves systematically identifying all pairs (x, y) where x and y are the numbers on the dice, and x + y > 5.
Calculate the probability by dividing the number of favorable outcomes by the total number of outcomes. Use the formula: \( P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \).

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Probability

Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1. In this context, it quantifies the chance of rolling a total greater than 5 with two six-sided dice. The probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
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Sample Space

The sample space is the set of all possible outcomes of a random experiment. For rolling two six-sided dice, the sample space consists of 36 combinations (6 sides on the first die multiplied by 6 sides on the second die). Understanding the sample space is crucial for calculating probabilities accurately.
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Favorable Outcomes

Favorable outcomes refer to the specific results that satisfy the condition of the probability question. In this case, we need to count how many combinations of the two dice yield a total greater than 5. Identifying these outcomes is essential for determining the probability of the event.
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Related Practice
Textbook Question

In pea plants, the appearance of flowers along the main stem is a dominant phenotype called 'axial' and is controlled by an allele T. The recessive phenotype, produced by an allele t, has flowers only at the end of the stem and is called 'terminal.' Pod form displays a dominant phenotype, 'inflated,' controlled by an allele C, and a recessive 'constricted' form, produced by the c allele. A cross is made between a pure-breeding axial, constricted plant and a plant that is pure-breeding terminal, inflated.

If the plants with terminal flowers produced by the cross in part (c) are saved and allowed to self-fertilize, what is the expected phenotypic distribution among the progeny?

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Textbook Question

If two six-sided dice are rolled, what is the probability that the total number of spots showing is 4?

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Textbook Question

If two six-sided dice are rolled, what is the probability that the total number of spots showing is 7?

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Textbook Question

If two six-sided dice are rolled, what is the probability that the total number of spots showing is


an odd number?

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Textbook Question

Experimental Insight 2.1 describes data, collected by a genetics class like yours, on the numbers of kernels of different colors in bicolor corn. To test the hypothesis that the presence of kernels of different colors in each ear is the result of the segregation of two alleles of a single gene, the class counted 12,356 kernels and found that 9304 were yellow and 3052 were white. Use chi-square analysis to evaluate the fit between the segregation hypothesis and the class results.

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Textbook Question

The accompanying pedigree shows the transmission of a phenotypic character. Using B to represent a dominant allele and b to represent a recessive allele,

Give the genotype(s) possible for each member of the family, assuming the trait is autosomal dominant. 

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