Question
1- People with type Onegative blood are universal donors. That is, any patient can receive a transfusion of Onegative blood. Only 7% of the American
1- People with type Onegative blood are universal donors. That is, any patient can receive a transfusion of Onegative blood. Only 7% of the American population have Onegative blood. If six people appear at random to give blood, what is the probability that at least one of them is a universal donor? Give your answer to three decimalplaces.
2- Each of us has an ABO blood type, which describes whether two characteristics, called A and B, are present. Every one of us has two blood type alleles (gene forms): one inherited from our mother and one from our father. Each of these alleles can be A, B, orO. Which two we inherit determines our blood type. Here is a table that shows what our blood type is for each combination of twoalleles:
Alleles inherited | Blood type |
---|---|
A and A | A |
A and B | AB |
A and O | A |
B and B | B |
B and O | B |
O and O | O |
We inherit each of a parent's two alleles with probability 0.5.0.5. We inherit independently from our mother andfather.
Andreona and Caleb both have alleles A andO.
What is the probability that their next child has each of these blood types? Give your answers to two decimalplaces.
a- P( type o) b- P (type a)
3- A roulette wheel has 38slots,38slots, numbered 0,00, and1to36.0,00, and1to36. The slots 0and000and00 are colored green, 1818 of the others are red, and 1818 are black. The dealer spins the wheel and, at the same time, rolls a small ball along the wheel in the opposite direction. The wheel is carefully balanced so that the ball is equally
likely to land in any slot when the wheel slows. Gamblers can bet on various combinations of numbers andcolors.
a- What is the probability that the ball will land in any one slot? Give your answer to four decimalplaces.
b- If you bet on "red," you win if the ball lands in a red slot. What is the probability of winning? Give your answer to four decimalplaces.
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