Question

A man who is heterozygous for tongue rolling and has a normal vision and a woman who cannot roll her tongue and is heterozygous for colorblindness have a child. What is the probability that it will be able to roll his/her tongue and have normal vision? Tongue-rolling is due to a dominant allele. Color Blindness is caused by an X-linked recessive gene. ...?

Answer 1

RrXY(man) x rrXx(woman) 

since the father is heterozygous for the character(rolling tongue) there is 50% chance that it will be passed onto the child. 
considering color blindness 
XY times Xx 

The off-springs will be 
XX(normal) 
Xx(normal) 
XY(normal) 
xY(colour blind) 

So chances of the child being normal is 75% 
Hence,
Combining the possibilities 
we get,
1/2 x 3/4 = 3/8

Answer 2

The answer is 3/8

Let T be a dominant allele for tongue rolling and let t be a recessive allele.
Tongue-rolling is a dominant trait. That means that an individual with at least one dominant allele will have the trait:
TT - dominant homozygous individuals able to roll tongue
Tt - heterozygous individuals able to roll tongue
tt - recessive homozygous individuals able to roll tongue
A heterozygous man (Tt) and recessive homozygous female (tt) will have 2 of 4 children that are able to roll tongue (Tt). Take a look at the attached image: 2 of 4 children (marked yellow on the image) are able to roll tongue (Tt) and 2 of for children are not (tt).
The probability that a child will be able to roll his/her tongue is 2/4 = 1/2

Now, let's see what happens with color blindness as an X-linked recessive trait. Let $X_V$ be a dominant allele and $X_v$ be a recessive allele. The genotypes will be as following:
$X_VX_V$ - a female with normal vision
$X_VX_v$ - a heterozygous female with normal vision
$X_vX_v$ - a female with colorblindness
$X_VY$ - a male with normal vision
$X_vY$ - a male with colorblindness
Take look at the attached image. A man with normal vision ($X_VY$) and a woman heterozygous for colorblindness ($X_VX_v$) will have 3 of 4 children that have normal vision (marked yellow on the image) and 1 of 4 children with color blindness.
The probability that the child has normal vision is 3/4.

Now, we have two probabilities:
The probability that a child will be able to roll his/her tongue is 1/2.
The probability that the child has normal vision is 3/4.
Since we want both of these traits to occur together, we will just multiply their possibilities:
1/2 * 3/4 = 3/8