Mathematics 4024 · O Level · Probability of combined events

Probability of combined events — practice question

Yasir commutes to work by car, bus, train or bike.
(a(i))[1]

Find the value of $p$.

(a(ii))[2]

Find the probability that on Monday and Tuesday he goes to work by train on one of those days and by bus on the other.

(a(iii))[3]

Find the probability that he goes to work by bus at least once on Wednesday or Thursday.

(b(i))[3]

Complete the histogram so that it shows the data.

(b(ii))[2]

Estimate how many days Yasir is paid overtime during these $70$ work days, given that he starts at $9.00\text{ a.m.}$ and earns overtime for working later than $5.15\text{ p.m.}$.

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