Max tosses a Fair coin 3 times what is the probability of getting heads in the first two trials and Tails in the last trial

2 answers:

5 0

.5 * .5 *.5 = 1/8
-
-
the probability to have head is .5 so the probability of tails 1-.5
-
then the first time is head
the second time is head
the third time is tail
so
.5 * .5 *.5 = 1/8

Makovka662 [10]3 years ago

4 0

First of all, we know that the coins has 2 side - head and tail. And the probability of tossing and get head or tail is 50/50 or 1/2.
Next,
P(getting a head in the first toss):
1/2
P(getting a head in the second toss):
1/2
P(getting a tail in the last toss):
1/2, so the probability of getting heads in the first two trials and Tails in the last trial is 1/2×1/2×1/2 or 1/8 is your final answer. Hope it help!

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A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the

posledela

Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

To find:

Probability that the signal will show green light when you reach the destination = ?

Solution:

First of all, let us convert each time to same unit before doing any calculations.

Time for which signal shows green light = 4 minutes = 4 $\times$ 60 seconds = 240 seconds

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes = 3 $\times$ 60 seconds = 180 seconds

Now, let us have a look at the formula for probability of an event E:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time <em>(Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)</em>

So, the required probability is:

$P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }$