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?

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Answer 1 · 2018-07-04T13:55:47

#0.68#

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

1) 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#

2) 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#