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topjm [15]
3 years ago
9

In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays.Find the probability that he did not hit a bounda

ry. ​
Mathematics
1 answer:
Margarita [4]3 years ago
4 0

Answer:

The probability of NOT hitting a boundary is (4/5).

Step-by-step explanation:

Let E: Be the event of hitting a boundary

now, Probability of any event E =  \frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}

Here, number of favorable outcomes = 6

So, P(E)  = \frac{6}{30}  = \frac{1}{5}

⇒Probability of hitting a six is 1/5

Now, P(E)  + P(not E)  = 1

So, P(not hitting a boundary ) = 1  -  P(hitting a boundary)

= 1 - (1/5)  = 4/5

Hence, the probability of NOT hitting a boundary is (4/5).

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Person A leaves his home to visit his cousin, person B, who lives 263 miles away. He travels at an average rate 46 miles per hou
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Answer:

It will take 2 hours after person B leaves before they meet

Step-by-step explanation:

Step 1: Determine expression for calculating speed, distance and time

The expression for calculating distance, speed and time is;

d=s×t

where;

d=distance in miles

s=speed in miles per hour

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Step 2: Distance covered by person A after 0.5 hours

In this case;

d=unknown

s=46 miles per hour

t=0.5 hours

replacing;

d=(46×0.5)=23 miles

Step 3: Determine the remaining distance to person B house

Remainder=Total distance-distance already covered by person A

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total distance=263 miles

distance already covered by person A=23 miles

replacing;

Remainder=(263-23)=240 miles

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Step 4: The time it will take for them to meet

The only have a distance (d) of 240 miles left to cover

Since they are moving towards the same direction, there speeds (s) are added together=(46+74)=120 miles per hour

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time=distance/speed

time=(240/120)=2 hours

It will take 2 hours after person B leaves before they meet

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