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Paul [167]
3 years ago
6

If you roll one die and flip one coin, what is the probability of rolling a 2 and flipping a head? Why?

Mathematics
2 answers:
den301095 [7]3 years ago
6 0

Answer:

The probability of rolling a 2 and flipping a head is \frac{1}{12}

Step-by-step explanation:

Notice that rolling a die and flipping a coin are two independent events this means that the probability that one event occurs in no way affects the probability of the other event occurring. When we determine the probability of two independent events we multiply the probability of the first event by the probability of the second event.

P(X and \:Y) =P(X) \cdot P(Y)

When you roll a die there six outcomes from 1 to 6 and when you flip a coin are two possible outcomes (heads or tails).

We know that the probability of an event is

P=\frac{the \:number \:of \:wanted\:outcomes}{the \:number \:of \:possible \:outcomes}

So the probability of rolling a 2 and flipping a head is

P(2 \:and \:H) = P(2) \cdot P(H)\\P(2 \:and \:H) = \frac{1}{2} \cdot \frac{1}{6}\\P(2 \:and \:H) = \frac{1}{12}

Nezavi [6.7K]3 years ago
3 0

Answer:

Probability of rolling a 2 and flipping a head will be \frac{1}{12}    

Step-by-step explanation:

If we roll one die then probability to get any one side is \frac{1}{6}

Therefore, probability to get 2 by rolling the die will be P(A) = \frac{1}{6}

Now we flip a coin then getting head or tale probability is \frac{1}{2}

Or probability to get head by flipping the coin P(B) = \frac{1}{2}

Probability of happening both the events (rolling a 2 and flipping a head) will be denoted by

P(A∩B) = P(A)×P(B)

           = \frac{1}{6}\times \frac{1}{2}

           = \frac{1}{12}

Therefore, probability of rolling a 2 and flipping a head will be \frac{1}{12}        

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I need help finding the slope, identifying the initial value and writing An equation for a linear function and finding the X ans
pishuonlain [190]

Answer/Step-by-step explanation:

✔️Slope (m) using the two points (2, 4.58) and (5, 4.28):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4.28 - 4.58}{5 - 2} = \frac{-0.3}{3} = -0.1

Slope (m) = -0.1

✔️Initial Value = y-intercept = b

To find b, substitute x = 2, y = 4.58, and m = -0.1 into y = mx + b.

(Note: y is P(t) and x is t).

Thus:

4.58 = (-0.1)(2) + b

4.58 = -0.2 + b

Add 0.2 to both sides

4.58 + 0.2 = b

4.78 = b

b = 4.78

Initial value = 4.78

✔️Equation for the linear function:

Substitute b = 4.78, and m = -0.1 into P(t) = mt + b

Thus the equation would be:

P(t) = -0.1t + 4.78

✔️The y-intercept = initial value = 4.78

✔️The x-intercept = the value of t when P(t) = 0.

To get this, substitute P(t) = 0 into P(t) = -0.1t + 4.78.

Thus:

0 = -0.1t + 4.78

Add 0.1t to each side

0.1t = 4.78

Divide both sides by 0.1

t = 47.8

x-intercept = 47.8

8 0
3 years ago
Everything else right but just can’t figure that fraction out.
krok68 [10]

Answer: 1/5

Step-by-step explanation: Since there are 5 blue/green marbles in the bag of 20 it would be 5/20 or 1/5.

6 0
3 years ago
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m_a_m_a [10]
I would say the answer is b, because it is a rhombus gape and all sides are congruent and there are 4 sides
3 0
3 years ago
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PtichkaEL [24]

Answer:

$25.50

Step-by-step explanation:

So we have a 15% off coupon. We can multiply 25×.85 to find our new price.

Our total is now $21.25

Now to find the tip do $21.25 +(.2 × 21.25)

*The .2 is 20 percent of our discount price.*

We then get $25.50

8 0
3 years ago
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klemol [59]
Hey luv!
2,789 rounded to the nearest ten would be
2,789.0

:)

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6 0
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