A bag contains 3 red balls and 5 green balls.What is the probability of picking a red ball from the bag AND getting heads upon flipping a fair coin?a.)b.)c.)d.)
Question
A bag contains 3 red balls and 5 green balls.What is the probability of picking a red ball from the bag AND getting heads upon flipping a fair coin?a.)b.)c.)d.)
Solution
a.) First, let's find the probability of picking a red ball from the bag. There are 3 red balls and a total of 8 balls (3 red + 5 green). So, the probability of picking a red ball is 3/8.
b.) The probability of getting heads upon flipping a fair coin is 1/2. This is because a fair coin has two equally likely outcomes: heads or tails.
c.) The probability of both events happening (picking a red ball AND getting heads on a coin flip) is found by multiplying the probabilities of each individual event. So, the probability is (3/8) * (1/2) = 3/16.
d.) Therefore, the probability of picking a red ball from the bag AND getting heads upon flipping a fair coin is 3/16.
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