Final answer:
The expected ratio of phenotypes in the offspring of a grasshopper with red stripes and a grasshopper with yellow stripes is 1:2:1 for red-striped, yellow-striped, and red and yellow-striped respectively.
Step-by-step explanation:
When a grasshopper with red stripes mates with a grasshopper with yellow stripes, their offspring can have different combinations of the red (R) and yellow (Y) alleles. The possible genotypes of the offspring are RR, RY, and YY.
Since each combination is equally likely, we can expect a ratio of 1:2:1 for the phenotypes of the offspring. This means that for every red-striped grasshopper (RR), we expect to see twice as many grasshoppers with yellow stripes (YY) and the same amount of grasshoppers with both red and yellow stripes (RY).
Therefore, the expected ratio of phenotypes in the offspring would be 1 red-striped: 2 yellow-striped: 1 red and yellow-striped.