Algebra Readiness: Concepts, Skills, and Problem Solving
(California)
1st Edition
ISBN: 9780078777370
Hovseplan, Price, Jack, Zike
Step 1
1 of 5
Probability is a measure of the likelihood of an event to occur. It
is defined as the possibility of an event to happen and it is equal
to the ratio of the number of favorable outcomes and the total
number of outcomes. The probability of an event EE can be
written as,
P(E)=number of favorable outcomestotal number of outcomesP
(E)=total number of outcomesnumber of favorable outcomes
Step 2
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The event for which we are sure of its occurrence is called
a certain event. The probability of a certain event is 11.
Similarly, the event for which we are sure that it will not happen
is called an impossible event. The probability of an impossible
event is zero.
,Further, when the probability of an event is close to
value 11 then it is called a likely event because it is likely to
occur. Also, when the probability of an event is close to
value 00 then it is called an unlikely event because it has less
chances of its occurrence.
Step 3
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Here, it is given that a bag contains pink and green erasers.
When we pick out an eraser from the bag and replace it, we
found that pink erasers are picked up 33 times and green
erasers are picked up 77 times in a total of 1010 trials.
Let EE be the event that we select one pink eraser. Since pink
erasees are selected 33 times out of a total of 1010 trials. This
implies that the number of favorable outcomes is 33 and the
number of total outcomes for this case is 1010.
This implies that the probability that we do pick up a pink
eraser, would be,
P(pink eraser)=310=0.3P(pink eraser)=103=0.3
Step 4
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Since the obtained value of the probability for selection of a
pink eraser is 310=0.3103=0.3 which is close to the
value 00 than the value 11. This implies that this event,
selection of a pink eraser, is a unlikely event.
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