List of top Mathematics and Quantitative Ecology Questions on Probability asked in GATE EY

The genome of a diploid species has 10 genes. In a population of this species, if each gene has two unique alleles, then the number of possible unique genotypes in this population is ______ (Answer in integer)

Bob is studying the effect of coral and sponge species on reef ecosystems using experiments in artificial square tanks. In each tank, he places 3 species of corals and 2 species of sponges. If there are 6 species of corals and 5 species of sponges to choose from, the minimum number of tanks required to test all combinations of 3 coral and 2 sponge species is ______ (Answer in integer)

In a population of birds, the proportion of blue individuals is 0.4 and the proportion of males is 0.3. Assuming that colour and sex are independent of each other, the probability that a randomly sampled individual from this population is a blue male is ______ (Round off to two decimal places)

Assume that the human haploid genome is \(3 \times 10^{9}\) base pairs long. The mutation rate, when DNA is copied, is \(5 \times 10^{-11}\) per base pair per replication. Based on these numbers, the expected number of mutations that take place per replication of the human haploid genome is _______ (Round off to two decimal places)

In a diploid population of \(N\) individuals, the probability of fixation of a new neutral mutation (assuming no other mutation occurs) is _________.