TMUA Juan Set 2 Paper 1 · Question 12

A certain bus arrives at the stop near Duru's house at exactly 09:02 with probability $\dfrac{7}{10}$ , and at exactly 09:03 with probability $\dfrac{3}{10}$ . Duru leaves her house at exactly 09:00 to catch this bus; the time it takes her to reach the stop is 100 seconds with probability $\dfrac{1}{2}$ , 150 seconds with probability $\dfrac{3}{10}$ , and 250 seconds with probability $\dfrac{1}{5}$ .

What is the probability that Duru is at the stop at the moment the bus arrives?

\dfrac{55}{100}

\dfrac{59}{100}

\dfrac{63}{100}

\dfrac{67}{100}

\dfrac{71}{100}

examday

Juan Set 2 Paper 1 · Q12