Skip to main content
Ch. 2 - Transmission Genetics
Sanders - Genetic Analysis: An Integrated Approach 3rd Edition
Sanders3rd EditionGenetic Analysis: An Integrated ApproachISBN: 9780135564172Non è quello che usi tu?Cambia libro di testo
Capitolo 2, Problema 19b

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

Guida verificata passo dopo passo
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 equals 7.
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.
Identify the favorable outcomes: List all the pairs of numbers on the two dice that add up to 7. These pairs are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). There are 6 favorable outcomes.
Calculate the probability: The probability of an event is given by the formula: Number of favorable outcomesTotal number of outcomes. Substitute the values: 636.
Simplify the fraction to express the probability in its simplest form.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
1m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Probability

Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1. In the context of rolling dice, it quantifies the chance of obtaining a specific outcome, such as the sum of the numbers showing on the dice. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Video consigliato:

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 all pairs of numbers that can appear, ranging from (1,1) to (6,6). This results in a total of 36 possible outcomes, which is crucial for calculating probabilities related to specific sums, such as 7.
Video consigliato:
Percorso guidato
11:06
Mathematical Measurements

Favorable Outcomes

Favorable outcomes refer to the specific results that satisfy the condition of the probability question. In this case, to find the probability of rolling a total of 7 with two dice, we identify all combinations that yield this sum, such as (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). There are six favorable outcomes, which are essential for calculating the probability.
Video consigliato:
Percorso guidato
08:04
Decision Between Lytic and Lysogenic Cycles
Pratica correlata
Domanda del libro di testo

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


an odd number?

660
views
Domanda del libro di testo

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?

441
views
Domanda del libro di testo

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 an F₁ plant from the initial cross described above is crossed with a plant that is terminal, constricted, what is the expected distribution among the resulting progeny?

426
views
Domanda del libro di testo

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

470
views
Domanda del libro di testo

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


greater than 5?

429
views
Domanda del libro di testo

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.

481
views