Question

In a relay race, the probability of the Galaxy team winning is 22%. In another unrelated relay race, the probability of the Komets team winning is 47%. If the possibility of a tie is not an option, the probability of the Komets losing their race and the Galaxy winning theirs is %.

Answer 1

In probability, an "or" means adding the probabilities, and an "and" means multiplying them.
The probability of Komets losing is 100-47 = 53% = .53. The probability of the Galaxy winning is 22% = .22.
Therefore, the probability of Komet losing AND Galaxy winning is

.53 × .22 = .1166
11.66%

Answer 2

Answer: There is probability of approximately 12% that Komets losing their race and the Galaxy winning their game.

Explanation:

Since we have given that

Probability of the Galaxy team wins = 22%

Probability of the Komets team wins = 47%

So, Probability of the Komets losing their race is given by

$100-47=53\%$

We need to find the probability of the Komets losing their and the Galaxy winning their game .

Let Event K : Komets losing their game

Event G : Galaxy winning their game

Since these are two independent events,

So,

$P(K\cap G)=P(K).P(G)\\\\P(K\cap G)=0.22\times 0.53\\\\P(K\cap G)=0.1166=0.12=12\%$

So, there is probability of 12% that Komets losing their race and the Galaxy winning their game.