Question

probabil of events ORS The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is less than or equal to 1". Let B be the event "the outcome is less than or equal to 5". Find P(A and B). Outcome Probability 1 0.17 2 0.06 3 0.25 4 0.01 5 0.05 6 0.15 7 0.31

Answer 1

The probability of A is

`P(A)=0.17`

The probability of B is

`P(B)=0.05+0.01+0.25+0.06+0.17=0.54`

Then, we find the probability of A and B.

`P(A\cap B)=0.17\cdot0.54=0.0918`

Hence, the probability is 0.0918.