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Question

Zara wakes up late on average $$3$$ days in every $$5$$.
If zara wakes up late, the probability he is late for school $$=\dfrac{9}{10}$$
If zara doesn't wake up late, the probability he is late for school $$=\dfrac{9}{10}$$
Using Tree diagram find what percent of days does Zaraget to school on time?


A
34%
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B
66%
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C
67%
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D
None of these
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Solution

The correct option is C None of these
The probability that zara wakes up late is $$\cfrac{3}{5}$$.
The probability that zara doesnt wakes up late is $$c\frac{2}{5}$$.
If zara wakes up late , then the probability that he is on time to school is $$1-\cfrac{9}{10}=\cfrac{1}{10}$$.
If zara doesnt wakes up late , then the probability that he is on time to school is $$1-\cfrac{9}{10}=\cfrac{1}{10}$$.
The probability that zara is on time to school is $$\cfrac{1}{10} \times \cfrac{3}{5}+\cfrac{1}{10} \times \cfrac{2}{5} = \cfrac{1}{10}$$.
The percentage is $$10$$%.

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