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The probability that rozaimah goes shopping is 0.8 on a sunny day and 0.4 on a rainy day. H forcefasted that it will rain tomorrow is 0.3. What is the probability that rozaimah will go shopping tomorrow?

Answer 1

Christopher Axton

#0.68#

It is the case of total probability which has two probable cases

If tomorrow will be a sunny day then the probability to go shopping is

#=\text{probability of sunny day}\times \text{probability of going on sunny day}#

#=(1-0.3)\times 0.8=0.56#

If tomorrow will be a rainy day then the probability to go shopping is

#=\text{probability of rainy day}\times \text{probability of going on rainy day}#

#=0.3\times 0.4=0.12#

Hence, the total probability that rozaimah will go shopping tomorrow

#=0.56+0.12#

#=0.68#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.