For the results of a certain survey, the estimated probability of being a hockey fan was 0.65 for males and 0.33 for females. Express each of these as a conditional probability. The probability of being a hockey fan (HF ) was 0.65 for males (M). Express this as a conditional probability.

P (HF | M) = 0.65

Step-by-step explanation:

Data provided in the question:

Probability of being a hockey fan for males = 0.65

Probability of being a hockey fan for females = 0.33

Now,

The statement " The probability of being a hockey fan (HF ) for males (M) = 0.65 " means

that out of the group of males the probability of hockey fan is 0.65 or we can say it as Probability of hockey fan given the condition that the fan is a male

Mathematically, we can express it as

P (HF | M) = 0.65