The probability that a student passes in mathematics is `4/9` and that he passes in physics is `2/5`. Assuming that passing in mathematics and physics are independent of each other, what is the probability that he passes in mathematics but fails in physics ?

Options

A. `4/15`
B. `8/45`
C. `26/45`
D. `19/45`

Answer

A

Explanation

Probability of passing in mathematics `= 4/9`
Probability of passing in physics `= 2/5`
Probability of failure in physics `= 1 - 2/5 = 3/5`
Given that both the events are independent.
Required probability `= 4/9 xx 3/5 = 4/15`