Hi, i need help in a probability question.


Gabriel takes a bus or a cab to go to school. On a rainy day, the probability that Gabriel takes a bus to school is 1/6 and on a non-rainy day the probability that he takes a cab is 1/12.
Assuming Gabriel's choice of transport is independent of the weather, find the probability that
a) it will rain when Gabriel goes to school and hence, draw a probability tree for it.
b) Gabriel will take a bus to school on a non-rainy day.

Anyone knows how to even complete the tree diagram since Gabriel's choice of transport is independent of the weather?

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Hi, i need help in a probability question.


Gabriel takes a bus or a cab to go to school. On a rainy day, the probability that Gabriel takes a bus to school is 1/6 and on a non-rainy day the probability that he takes a cab is 1/12.
Assuming Gabriel’s choice of transport is independent of the weather, find the probability that
a) it will rain when Gabriel goes to school and hence, draw a probability tree for it.
b) Gabriel will take a bus to school on a non-rainy day.

Q1) A particle P travels in a straight line so that its distance, s m, from a fixed point O is given by s = 2t + 18/(t+1), where t is the time in seconds measured from the start of the motion. Calculate

i) the initial acceleration of P.
ii) the velocity of P when it is next at starting point.
iii) the value of t when the particle is instantaneously at rest.
iv) the total distance travelled in the first 5 seconds.

Q2) The diagram shows parts of the curve y = 2e^(x/2) (not drawn to scale) and the lines x=1, x=k and x=4.
i) Find the total area of regions A, B and C giving your answer correct to 1 decimal place.
ii) Given that the area of Region A is equal to Region B, calculate the value of k giving your answer correct to 4 significant figures.

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