The step that requires division is the checking step
The probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The probability of H is 2/3 and the probability of T is 1/3.
P(HT) = P(H in the first trial)P(T in the second trial)
From the tree diagram:
P(HT) = (2/3)(1/3) = 2/9
Thus, the probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.
Learn more about the probability here:
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Answer:
1/2 and 4/12
Step-by-step explanation:
2/6=(2:2)/(6:2)=1/3
2/6=(2*2)/(6*2)=4/12
Problem 1
<h3>Answer: 2/5</h3>
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Explanation:
There are 4 green blocks out of 4+6 = 10 total. We divide the number of green over the number total to get the answer. Reduce the fraction as much as possible. The fraction 4/10 reduces to 2/5 (we divide both parts by 2).
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Problem 2
<h3>Answer: 1/6</h3>
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Explanation:
The probability the spinner lands on red is 2/6 = 1/3. This is because there are 2 spaces that are red out of 6 total. It helps to reduce as much as possible.
The probability the coin lands on heads is 1/2 because there's 1 side labeled heads out of 2 total.
Multiply the fractions: 1/3 * 1/2 = 1/6
This works because both events are independent.
Answer: y = 2x + 3. 4x - 3y = 2. (A.K.A 6)
Step-by-step explanation: What is the value of the x-coordinate of the point of ... We can solve the system of equations by substituting the value of y from the second equation into the first. y = 2x + ... Thus, the second and third lines intersect at (-11/2,-8). ... 6y - 3x = -6: 4x - 5y + (6y - 3x) = 12 + (-6). 4x - 3x + 6y - 5y = 12 - 6. x + y = 6.
