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NeTakaya
3 years ago
6

Robin rolled a die and then flipped a coin. What is the probability she rolled an even number and the coin landed on heads?

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

There are 3 even numbers of the 6 numbers on a die.

(1,2,3,4,5,6) are the possible numbers.  2,4,6 are even

P( even number ) = 3/6 = 1/2

P (heads) = 1/2

Since they are independent events, we can multiply the probabilities together

P (even, heads) = 1/2 * 1/2 = 1/4

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1/3

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There are 6 values on a die, and we want 2 values. The fraction now is 2/6. But, wait! We can simplify this fraction: 1/3.

Side note:

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Five years ago alex was 12 times as old as tom alex is 41 now how old is tom now
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2 years ago
Find the product.<br><br> 5.28 · 1.4 = _____<br><br> 7.392<br> 2.64<br> 73.92<br> 7.362
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3 years ago
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The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
11111nata11111 [884]
(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes

(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)

Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes

(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%

With actual average time to walk to the bus stop being 10 minutes;

(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes

(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.

(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0

From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
8 0
3 years ago
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