Nandini's phone battery dies as she is driving to her hometown. She knows that there are two
4-way junctions before reaching her hometown. So, she drives on until she reaches a four way
junction and arbitrarily chooses one of the ways in front of her, and at the next four way junction,
she again randomly chooses one of the ways in front of her. What is the probability that Nandini
will reach her hometown without having to head back? Enter the answer up to 2 decimals
accuracy.
Answers
The probability that Nandini will reach her hometown without having to head back is 0.06
Given:
There are two 4 ways junctions on the way to Nandini's hometown. She takes arbitrarily one of the road at both the junctions
To find out:
Probability that Nandini will reach her hometown without having to head back
Solution:
Nandini is equally likely to pick any of the four roads at either junction
Therefore, probability of taking any one of the 4 roads at any of the junction is 1/4
Taking any road on either junction is independent
Thus, the probability that Nandini will reach her hometown without having to head back
= Probability that she takes the correct way on the first junction × probability that she takes the correct way on the second junction
= 1/4 × 1/4
= 1/16
= 0.0625
= 0.06 (answer to two decimal places)
Hope this answer is helpful.
Know More:
Q: Nandini picked a letter from the set of english alphabets and found it to be vowel what is the probability that it is a or u ?
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