SOLUTION: a card is taken at random from a pack of cards and replaced. A second card is drawn. The probability of a diamond being drawn is one quarter. What is the probability that both card
Algebra ->
Probability-and-statistics
-> SOLUTION: a card is taken at random from a pack of cards and replaced. A second card is drawn. The probability of a diamond being drawn is one quarter. What is the probability that both card
Log On
Question 352141: a card is taken at random from a pack of cards and replaced. A second card is drawn. The probability of a diamond being drawn is one quarter. What is the probability that both cards are from different suits? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! a card is taken at random from a pack of cards and replaced. A second card is drawn. The probability of a diamond being drawn is one quarter. What is the probability that both cards are from different suits?
---
P(both different) = 1 -P(both are same suit)
= 1 - p(both hearts or both diamonds or both spades or both clubs)
= 1 - (4*(1/4)^2)
= 1 - (1/4)
= 3/4
=================
Cheers,
Stan H.