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Suppose that a disease is inherited via a sex-linked mode of inheritance. The implications of this mode of inheritance are that each male offspring has a \(50 \%\) chance of inheriting the disease, whereas the female offspring have no chance of getting the disease.In a family with one male and one female sibling, what is the probability that both siblings are affected?

Short Answer

Expert verified
The probability that both siblings are affected is 0.

Step by step solution

01

Understanding Sex-Linked Inheritance

In sex-linked inheritance, particularly on the X chromosome, males (XY) are affected if they inherit the affected X from their carrier mother, with a 50% chance. Females (XX) need two affected X's to show the trait, which this scenario specifies is zero probability.
02

Recognizing Probabilities for Offspring

Each male child has a 50% probability (\(0.5\)) of being affected, while each female child has a 0% (\(0\)) probability of being affected, based on the given information. Hence, a male being affected is independent of a female being affected.
03

Calculating Overall Probability

The probability that both siblings are affected is the probability of the male being affected (\(0.5\)) multiplied by the probability of the female being affected (\(0\)). This results in an overall probability of \(0.5 \times 0 = 0\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Probability Calculation
Probability calculation helps understand how likely it is for events to happen. In genetics, it's often used to predict the chances of offspring inheriting certain traits. When calculating probabilities in genetics, we multiply the probabilities of independent events.

In the case of sex-linked diseases, the traits are often inherited through the X chromosome. Due to this, each gender might have different probabilities. For example, male children having a 50% chance means that each time a male is born, there's a 1 in 2, or 0.5 probability, of having the disease. Female children, if the probability is 0%, will never inherit the disease regardless of any other factors.

These calculations are precise and rely on the assumption that each birth is an independent event. So when looking at siblings, you multiply their probabilities to find the chance of both being affected. For instance, if a male has a 50% chance and a female has a 0% chance, the probability both are affected is 0.5 multiplied by 0, which results in 0.
X-linked Traits
X-linked traits are characteristics that are determined by genes located on the X chromosome. Males have one X and one Y chromosome, while females have two X chromosomes. This difference affects how X-linked traits are inherited and expressed.

  • For males, any recessive gene on the X chromosome will be expressed because they have only one X. This means they show the trait or disease if they inherit the affected X.
  • For females, they need two affected X chromosomes to express a recessive trait or disease. If only one X chromosome carries the gene, they are usually carriers without showing symptoms.


This gender difference is crucial in understanding why males are more commonly affected by X-linked recessive diseases. The chance of a male inheriting the trait largely depends on whether the mother is a carrier.
Genetic Diseases
Genetic diseases are caused by abnormalities in an individual's genome. They can be inherited in different ways, depending on where the affected genes are located.

When a disease is X-linked, like in many sex-linked disorders, it typically affects more males due to their single X chromosome.

Key aspects include:
  • The type of inheritance pattern (dominant, recessive, or sex-linked) defining the likelihood of inheritance.
  • The carrier state, particularly in females for X-linked diseases, where they might pass the disease to sons but not show symptoms themselves.
  • The probability of transmission, where knowing the patterns helps families predict and understand the risks of genetic conditions affecting future generations.


This focus on X-linked genetic diseases aids in anticipating the health outcomes for future children, making genetic counseling a crucial step for concerned families.

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Most popular questions from this chapter

Suppose that a disease is inherited via an autosomal recessive mode of inheritance. The implications of this mode of inheritance are that the children in a family each have a probability of 1 in 4 of inheriting the disease.What is the probability that in a family with two children, both siblings are affected?

The following data are derived from the Monthly Vital Statistics Report (October 1999 ) issued by the National Center for Health Statistics [10]. These data are pertinent to livebirths only.Suppose that infants are classified as low birthweight if they have a birthweight \(<2500 \mathrm{g}\) and as normal birthweight if they have a birthweight \(\geq 2500\) g. Suppose that infants are also classified by length of gestation in the following five categories: <28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and \(\geq 37\) weeks. Assume the probabilities of the different periods of gestation are as given in Table \(3.8 .\)Also assume that the probability of low birthweight is .949 given a gestation of \(<28\) weeks, .702 given a gestation of \(28-31\) weeks, .434 given a gestation of \(32-35\) weeks, .201 given a gestation of 36 weeks, and .029 given a gestation of \(\geq 37\) weeks.3.51 Show that the events \\{length of gestation \(\leq 31\) weeks \(\mathrm{~ a n d ~ \\{ l o w ~ b i r t h w e i g h t \\} ~ a r e ~ n o t ~ i n d e p e n d e n t . ~}\).$$\begin{array}{lc} \hline \text { Length of gestation } & \text { Probability } \\ \hline<28 \text { weeks } & .007 \\\28-31 \text { weeks } & .012 \\\32-35 \text { weeks } & .050 \\\36 \text { weeks } & .037 \\\\\geq 37 \text { weeks } & .893\\\\\hline\end{array}$$

Commonly used vaccines for influenza are trivalent and contain only one type of influenza B virus. They may be ineffective against other types of influenza B virus. A randomized clinical trial was performed among children 3 to 8 years of age in 8 countries. Children received either a quadrivalent vaccine (QIV) that had more than one influenza B virus or a trivalent Hepatitis A vaccine (control) (Jain, et al., [9]. New England Journal of Medicine \(2013: 369(26): 2481-2491)\) An attack rate (i.e., \(\%\) of children who developed influenza) starting 14 days after vaccination until the end of the study was computed for each vaccine group, stratified by age. The following data were reported: Suppose 3 children in a village ages \(3,5,\) and 7 are vaccinated with the QIV vaccine. What is the probability that at least one child among the 3 will get influenza?$$\begin{array}{lcc}\hline \text { age } & \text { QIV group } & \text { Control group } \\\\\hline 3-4 & 3.78 \% & 5.69 \% \\\5-8 & 1.70 \% & 5.15 \% \\\\\hline\end{array}$$

The ankle-arm blood-pressure index (AAl) is defined as the ratio of ankle systolic blood pressure/arm systolic blood pressure and is used for the diagnosis of lower extremity arterial disease. A study was conducted to investigate whether the AAl can be used as a screening test for atherosclerotic diseases in general [20]. The subjects were 446 male workers in a copper smelter in Japan. Each subject had an AAl determination as well as an electrocardiogram (ECG). From the ECG, an S-T segment depression was defined as an S-T segment \(\geq 0.1 \mathrm{mV}\) below the baseline in at least 1 of 12 leads in a resting ECG. S-T segment depression is often used as one characterization of an abnormal ECG. The data in Table 3.22 were presented relating AAl to S-T segment depression. Suppose the reproducibility of the AAl test were improved using better technology. Would the sensitivity of the test increase, decrease, or remain the same? why?

A dominantly inherited genetic disease is identified over several generations of a large family. However, about half the families have dominant disease with complete penetrance, whereby if a parent is affected there is a \(50 \%\) probability that any one offspring will be affected. Similarly, about half the families have dominant disease with reduced penetrance, whereby if a parent is affected there is a \(25 \%\) probability that any one offspring will be affected. Suppose in a particular family one parent and two of the two offspring are affected.What is the probability that the mode of transmission for this particular family is dominant with complete penetrance? Is this a prior probability or a posterior probability?

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