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yuradex [85]
3 years ago
6

How would you solve this?

Mathematics
1 answer:
finlep [7]3 years ago
5 0

Answer:the probability that a pensioner catches a flu is 0.3 or \frac{3}{10}

Step-by-step explanation:

<u>Data:</u>

a) Pensioners who have had a flu jab = \frac{3}{5}

b) Pensioners who did not had a flu jab = 1 - \frac{3}{5} = \frac{2}{5}

For the first pair of arrows: a is the probability of the upper arrow and b is the probability of the lower arrow.

<em>If pensioner have had a flu jab, the probability of catching flu is \frac{1}{30}</em>

Data:

c) Catching flu = \frac{1}{30}

d) Not catching flu = 1 - \frac{1}{30} = \frac{29}{30}

The second pair of arrows on the top: Top arrow is c and bottom arrow is d

<em>If pensioner did not have a flu jab, the probability of catching flu is \frac{7}{10}</em>

<u>Data:</u>

e) Catching flu = \frac{7}{10}

f) Not catching flu = 1 - \frac{7}{10} = \frac{3}{10}

The second pair of arrows on the bottom: Top arrow is e and bottom arrow is f.

Q) Probability pensioner catches a flu

P(catches the flu given that he had the flu jab) + P(catches the flu given that he did not have the flu jab)

(\frac{3}{5} x \frac{1}{30}) + (\frac{2}{5} x \frac{7}{10} )

= 0.02 + 0.28

= 0.3

Therefore, the probability that a pensioner catches a flu is 0.3 or \frac{3}{10}

Keyword: Probability

Learn more about probability at

  • brainly.com/question/4021035
  • brainly.com/question/4655616

#LearnwithBrainly

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