Use the data in the following table, which summarizes blood groups and Rh types for randomly selected subjects. Assume that subjects are randomly selected from those included in the table. Blood Groups O A B AB Blood Types Rh Superscript plus 62 52 19 11 Rh Superscript minus 19 14 5 4 If two people are selected, find the probability that they are both type Rh Superscript plus in parts (a) and (b) below. a. Assume that the selections are made with replacement. Are the events independent? The probability is nothing. The events are independent because the occurrence of the first subject having blood type Rh Superscript plus does not affect the probability of the occurrence of the second subject having blood type Rh Superscript plus.
O | A | B | AB | Total | |
Rh+ | 62 | 52 | 19 | 11 | 144 |
Rh- | 19 | 14 | 5 | 4 | 42 |
total | 81 | 66 | 24 | 15 | 186 |
a)
probability that they are both Rh+ =(144/186)*(144/186)=0.5994 (please take care of number of decimals)
The events are independent because the occurrence of the first subject having blood type Rh+ does not affect the probability of the occurrence of the second subject having blood type Rh+.
b)
probability that they are both Rh+ =(144/186)*(143/185)=0.5984 (please take care of number of decimals)
The events are dependent because the occurrence of the first subject having blood type Rh+ affect the probability of the occurrence of the second subject having blood type Rh+.
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