The table below shows the three-day rain forecast
for Friday, Saturday and Sunday in Aberystwyth.
Day Probability of rain
Friday
70%
Saturday
70%
Sunday
70%
a) Work out the probability that it will rain on all three days.
b) Work out the probability that it will rain on exactly two consecutive days.

Respuesta :

Answer:

a=0.343

Step-by-step explanation:

70/100=0.7

0.7x0.7x0.7=0.343

Answer:

Step-by-step explanation:

Given is the table which shows the three day rain forecase.

Day Probability of rain

Friday           70%

Saturday      70%

Sunday          70%

Since each day rain is independent we get

a) Probability  that it will rain on all three days = [tex](0.7)^3 =0.343[/tex]

b)  probability that it will rain on exactly two consecutive days

= probability that it rains either Fri, SAt or Sat, Sun or Sun, Fri

[tex]=3C2 (0.7)^2 (0.3)[/tex]

=0.441

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