Harsh has a number of girlfriends and Bixby has b number of girlfriends. 30% of a are female and 50% of b are male. Whats the probability that I get two females if I pick one randomly each from a and b?
Q. Harsh has a number of girlfriends and Bixby has b number of girlfriends. 30% of a are female and 50% of b are male. Whats the probability that I get two females if I pick one randomly each from a and b?
Calculate Female Percentage: Determine the percentage of females in Harsh's group. Since 30% of 'a' are female, we can calculate the percentage of females as 100%−30%=70%.
Convert to Probabilities: Determine the percentage of females in Bixby's group.Since 50% of 'b' are male, we can calculate the percentage of females as 100%−50%=50%.
Calculate Combined Probability: Convert the percentages to probabilities.The probability of picking a female from Harsh's group is 10070 or 0.7.The probability of picking a female from Bixby's group is 10050 or 0.5.
Perform Multiplication: Calculate the probability of picking one female from each group.To find the combined probability of two independent events, we multiply the probabilities of each event.Probability of picking one female from Harsh's group AND one female from Bixby's group = 0.7×0.5.
Perform Multiplication: Calculate the probability of picking one female from each group.To find the combined probability of two independent events, we multiply the probabilities of each event.Probability of picking one female from Harsh's group AND one female from Bixby's group = 0.7×0.5.Perform the multiplication to find the final probability.0.7×0.5=0.35.