38% of women consider themselves fans od professional baseball. you randomly select sex women and ask each if she considers herself a fan professional baseball
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To find out the probability of randomly selecting six women who consider themselves fans of professional baseball, we need to use the information given: 38% of women consider themselves fans of professional baseball.
First, we need to calculate the probability of one woman considering herself a fan of professional baseball. Since 38% of women consider themselves fans, the probability of one woman being a fan is 38% or 0.38.
To find the probability of randomly selecting six women who are fans, we need to multiply the probabilities together because we want all events to occur. Therefore, the probability of randomly selecting six women who are fans would be:
P(Six women are fans) = 0.38 * 0.38 * 0.38 * 0.38 * 0.38 * 0.38 = 0.38^6
To find the exact value, let's calculate the result:
P(Six women are fans) = 0.38^6
≈ 0.01360294896
Therefore, the probability of randomly selecting six women who consider themselves fans of professional baseball is approximately 0.0136, or about 1.36%.