Sheila either walks to school or cycles, the probability that she walks it 0.65. if she walks, the probability that shell be iate is 0.4 if she cycles the probability that shell be late is 0.1 work out the probability that on any one day, sheila will not be late for school.

In this question,  the probability that Sheila walks is 0.65 and if she walks, which mean the probability to take cycle is 0.35. The probability that shell be late if walking is 0.4 and if she cycles the probability that shell be late is 0.1

The probability that she will be late:
0.65*0.4 + 0.35*0.1= 0.26+ 0.035= 0.295

The probability that she will not be late:
1-0.295= 0.705= 70.5%