the probability of finding a green signal on a busy crossing is 30% what is the probability of finding a green signal on X on two consecutive days out of three
Answers
Answer:
9/50
Step-by-step explanation:
The probability of finding a green signal on any one day is 30/100 or 3/10.
Now if we consider three days and out of that we have to get signal on two consecutive days then possible combination would be;
Probability of Green signals on D1 and D2 = 3/10 x 3/10 = 9/100
Othe combination
Probability of Green signals on D2 and D3 = 3/10 x 3/10 = 9/100
Summing up both conditions = 9/100 + 9/100 = 18/100 = 9 / 50
Given ,
The probability of green signal on a busy crossing = ( 3 / 10 )
We have to find the probability of finding a green signal on X on two consecutive days out of three .
Solution :
Let three days be Day1 , Day2 and Day3 .
The probability for two consecutive days will include the chance that the light will be green on Day1 and Day2 or Day2 and Day3 .
The Probability = probability of green light on Day1 and Day2 + probability
green light on Day2 and Day3
= (3/10) * (3/10) + (3/10) * (3/10)
= 9/50
The probability of finding a green signal on X on two consecutive days out of three = 9/50