your answer is correct but the tree diagram isn't.
The first step of the tree diagram is one of the races (outcome: win or lose), the second step of the tree diagram is the other race (outcome: win or lose)
Hi, this is my question:
Sanjit enters a competition where he takes part in two events.
The probability that he will win the running event is 0.3.
The probability that he will win the cycling event is 0.6.
The two events are independant.
A) calculate the probability that Sanjit will win both events.
when drawing a tree diagram for this question would i do this?
and to get the answer would i do 0.3 x 0.6= 0.18?
There are 2 ways this event can happen:
Win then lose. Probability = (0.3 * 0.4)
Lose then Win. Probability = (0.7 * 0.6)
Total probability = (0.3*0.4)+(0.7*0.6) = 0.54
To get the probabilities for each outcome, just follow the relevant path on the the tree, multiplying together the probability values of each branch you walk along.