Conditional probability is a measure of the probability of an event given that another event has occurred. If the event of interest is A and the event B is known or assumed to have occurred, "the conditional probability of A given B", or "the probability of A under the condition B", is usually written as P(A|B), or sometimes
.
The conditional probability of event A happening, given that event B has happened, written as P(A|B) is given by
In the question, we were told that there are three randomly selected coins which can be a nickel, a dime or a quarter.
The probability of selecting one coin is
Part A:
To find <span>the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter, let the event that all three coins are quarters be A and the event that the first two envelopes Jeanne opens each contain a quarter be B.
P(A) means that the first envelope contains a quarter AND the second envelope contains a quarter AND the third envelope contains a quarter.
Thus
</span><span>P(B) means that the first envelope contains a quarter AND the
second envelope contains a quarter
</span><span>Thus
Therefore,
Part B:
</span>To find the probability that all three coins are different if the first envelope Jeanne opens contains a dime<span>, let the event that all three coins are different be C and the event that the first envelope Jeanne opens contains a dime be D.
</span><span>
</span><span>
</span><span>
Therefore,
</span>
Answer:
42.06 ft²
Step-by-step explanation:
2 sides = 2(2.7 ft × 3.2 ft) = 2 × 8.64 ft² = 17.28 ft²
Front + back = 2(2.1 ft × 3.2 ft) = 2 × 6.72 ft² = 13.44 ft²
Top + bottom = 2(2.1 ft × 2.7 ft) = 2 × 5.67 ft² = <u>11.34 ft²
</u>
Total area = 42.06 ft²
Answer: 0.0637
Step-by-step explanation:
There are 13 hearts. The chance of drawing a heart in your first draw is 13/52, or in other words 1/4
There are 13 diamonds. The chance of drawing a heart on your second draw after removing the heart is 13/51
The chance of drawing a heart, and then, drawing an orange, are 1/4*13/51=13/204.
Answer:
Step-by-step explanation:
Add a picture please.
After 10 weeks, they will have same amount of money.
Step-by-step explanation:
Given,
Amount Andy have = $20
Amount earned per week = $5
Let,
x be the number of weeks.
y be the total cost.
y = 20+5x Eqn 1
Amount Jennifer have = $50
Amount earned per week = $2
y = 50+2x Eqn 2
For the same amount of money, the equations will be equal.
Eqn 1 = Eqn 2
Dividing both sides by 3
After 10 weeks, they will have same amount of money.
Keywords: linear equation, division
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