Find the probability that the arrow will land on 3 or 1 This

Find the probability that the arrow will land on 3 or 1. This problem deals with eye color, an inherited trait. For purposes of this problem, assume that only two eye colors are possible, brown and blue. We use b to represent a blue eye gene and B a brown eye gene. If any B genes are present, the person will have brown eyes. The table shows the four possibilities for the children of two Bb (brown-eyed) parents, where each parent has one of each eye color gene. Find the probability that these parents give birth to a child who has blue eyes. In the game of roulette in the United States a wheel has 38 slots: 18 slots are black, 18 slots are and 2 slots are green. We watched a friend play roulette for two hours. In that time we noted that the wheel was spun 50 times and that out of those 50spins black came up 22 time. Based on this data, the P(black) = 22/50 = 0.44. This is an example of what type of probability?

Solution

3. the first parent can have either b gene(blue eye) or B gene(brown eye). the second parent also can have either b gene(blue eye) or B gene(brown eye).

now it is given that if any B genes are present, the person will have brown eyes.

from the table it is clear that there are four possibilities of genes for the children.

they are-{BB,Bb,bB,bb}

now the child has blue eyes means there are not any B gene present, which means the only possibility is{bb}

hence out of 4 possibilities there is only 1 possibility for the child to have blue eyes.

hence the probability that these parents give birth to a child who has blue eyes is 1/4 [answer] [option A]

4. the wheel has 38 slots out of which 18 are black,18 are red and 2 are green.

in two hours the wheel was rotated 50 times out of which black came up 22 times.

it means that the random experiment of spinning the wheel is repeated 50 times and in 22 occassions the outcome is black.

but this corresponds to the empirical probability which means probability of an event is the ratio of number of times that event has occurred to the total number of trials.

hence P[black]=22/50=0.44 is an example of empirical type of probability [answer] [option D]