If you are tossing a six-sided die, what is the probability of getting either a 1 or a 2 on your first toss AND a 1 or a 2 on your second toss?
A. 1/18
B. 1/9
C. 1/6
D. 1/3
E. 2/3
Clarify Question
· What is the key concept addressed by the question?
· What type of thinking is required?
· What key words does the question contain?
Gather Content
· What do you already know about probability?
Consider Possibilities
· What other information is related to the question? Which information is most useful?
Choose Answer · Given what you now know, what information and/or problem solving approach is most likely to produce the correct answer?
Reflect on Process
· Did your problem-solving process lead you to the correct answer? If not, where did the process break down or lead you astray? How can you revise your approach to produce a more desirable result?
B. 1/9
Clarify Question
· What is the key concept addressed by the question?
o This question targets your understanding of probability.
· What type of thinking is required?
o You need to Apply your understanding of probability to this particular example of rolling a die.
· What key words does the question contain?
o A die is the singular form of the word dice. Probability is the likelihood of an event, expressed as a fraction or a percentage.
Gather Content
· What do you already know about probability?
o We have learned about probability in the context of genetics. Like rolling a die, in genetics the outcome from one reproductive event does not affect the likelihood of a subsequent event.
Consider Possibilities
· What other information is related to the question? Which information is most useful?
o For this problem, break it into two events: the likelihood from the first roll and the second.
o Then multiply the two probabilities to get the overall probability.
Choose Answer · Given what you now know, what information and/or problem solving approach is most likely to produce the correct answer?
o What is the likelihood of rolling a 1 or 2 on the first roll? Those are 2 out of 6 possibilities, so 2/6 or 1/3.
o The second roll has the same probability – it is unaffected by the first result. So 1/3 for the second roll.
o The probability of the combined scenario is found by multiplying the two individual probabilities. 1/3 x 1/3 = 1/9.
Reflect on Process
· Did your problem-solving process lead you to the correct answer? If not, where did the process break down or lead you astray? How can you revise your approach to produce a more desirable result?
o This question required you to Apply your knowledge and understanding to this unfamiliar situation.
o Make sure to read questions carefully. Would the result be the same if you were asked about rolling a 1 or 2 on the first roll, and then rolling the SAME number on the second roll? o With dice and with genetics, remember that independent events do not affect each other. Even if a couple has 4 sons in a row, their fifth baby still has a 50% chance of being a boy!
You might also like to view...
Which traits are considered the most favorable?
a. the ability to run very fast b. any ability that confers an advantage under the current environmental conditions c. the ability to fly for travel or to escape predators d. No traits are considered favorable under any circumstances.
In pea plants, the allele for purple flowers (P) is dominant over the allele for white flowers (p). A pea plant heterozygous for the flower color trait has ____ flowers.
A) purple B) white C) pink D) purple and white E) purple and pink
Some cancer cells produce the enzyme ________, which protects the ends of chromosomes during multiple rounds of cell division
Fill in the blank with correct word.
The cloudiness in the eye lens that blocks light on its way to the retina is called a(n) ________
Fill in the blank(s) with correct word