Your friend picks a random card and wants you to guess if it’s a face card....

Your friend picks a random card and wants you to guess if it’s a face card. He tells you that it’s red. He tells you that is not a 10. He tells you that it’s not a diamond. Which of these are independant and which are dependant?

Solutions

Expert Solution

Out of 52 cards, there are 26 red cards ,6 of which are face cards and out of 52 cards , in total 12 face cards

therefore probability that it is a face card knowing that the card is red (6/26=0.23) is not different from probability that it is a face card not knowing about the color (12/52=0.23). Therefore independent event

Out of 52 cards, there are 4 ten cards , so there are 48 cards are there that are not 10

therefore probability that it is a face card knowing that the card is not 10 (12/48) is different from probability that it is a face card not knowing anything (12/52). Therefore dependent event

Out of 52 cards, there are 13 diamond cards , so there are 39 cards are there that are not diamond , 9 face cards are not diamond

therefore probability that it is a face card knowing that the card is not diamond (9/39=0.23) is not different from probability that it is a face card not knowing anything (12/52=0.23). Therefore independent event

orchestra answered 1 year ago

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