Question

The probability that dimple goes to the local shop is 3/7.The probability that she does not cycle is 8/21.The probability that she goes to the shop and cycle is 16/35.
i)What is the probability that she cycles?
ii)What is the probability that she cycles or goes to the shop?

Answer 1

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Answer is......

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Answer 2

Answer:

Probability (cycles) = $\frac{13}{21}$

Prob(cycles or goes to shop)=$\frac{56}{105}$

Step-by-step explanation:

Given : The probability that dimple goes to the local shop is 3/7.The probability that she does not cycle is 8/21.The probability that she goes to the shop and cycle is 16/35.

To find :

i) What is the probability that she cycles?

ii) What is the probability that she cycles or goes to the shop?

Solution :

i) The probability that she does not cycle is $\frac{8}{21}$

Probability (cycles) = 1 - Prob(does not cycle)

Probability (cycles)= $1-\frac{8}{21}=\frac{13}{21}$

ii) The probability that dimple goes to the local shop is $\frac{3}{7}$

The probability that she goes to the shop and cycle is $\frac{16}{35}$

Prob(cycles or goes to shop)= Prob(cycles) + Prob(goes to shop) - Prob(cycles and goes to shop)

Prob(cycles or goes to shop)=$\frac{13}{21}+\frac{3}{7}-\frac{16}{35}$

Prob(cycles or goes to shop)=$\frac{56}{105}$