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A table of 5 students has 3 seniors and 2 juniors. The teacher is going to pick 2 students at random from this group to present homework solutions. PROBLEM 2 Find the probability that both students selected are juniors. Choose 1 answer: 2 P(both juniors) = 4 P(both juniors) = 25 B P(both juniors) = 10 1 O P(both juniors) = 20 ||

A table of 5 students has 3 seniors and 2 juniors. The teacher is going to pick 2 students at random from this group to present homework solutions. PROBLEM 2 Find the probability that both students selected are juniors. Choose 1 answer: 2 P(both juniors) = 4 P(both juniors) = 25 B P(both juniors) = 10 1 O P(both juniors) = 20 ||

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Answer correctly and read carefully, deals with the general multiplication rule. Make sure the answer is correct thanks.

 

A table of 5 students has 3 seniors and 2 juniors. The teacher is going to pick 2 students at random from this group to present homework solutions. PROBLEM 2 Find the probability that both students selected are juniors. Choose 1 answer: 2 P(both juniors) 5 A 4 ® P(both juniors) 25 1 P(both juniors) = 10 C 1 P(both juniors) 20 ||
Transcribed Image Text:A table of 5 students has 3 seniors and 2 juniors. The teacher is going to pick 2 students at random from this group to present homework solutions. PROBLEM 2 Find the probability that both students selected are juniors. Choose 1 answer: 2 P(both juniors) 5 A 4 ® P(both juniors) 25 1 P(both juniors) = 10 C 1 P(both juniors) 20 ||
Consider drawing two cards, without replacement, from a standard deck of 52 cards. That means we are drawing the first card, leaving it out, and then drawing the second card. What is the probability that both cards selected are black? Half of the 52 cards are black, so the probability that the first card is black is 26/52. But the probability of getting a black card changes on the next draw, since the number of black cards and the total number of cards have both been decreased by 1. Here's what the probabilities would look like in a tree diagram: 26 25 В 52 51 25/51 2 0.245 В 26/52 26 26 R 52 51 26/51 2 0.255 26 26 В 52 51 26/51 2 0.255 26/52 26 25 R 52 51 25/51 2 0.245 So the probability that both cards are black is: 26 25 P(both black) 2 0.245 52 51
Transcribed Image Text:Consider drawing two cards, without replacement, from a standard deck of 52 cards. That means we are drawing the first card, leaving it out, and then drawing the second card. What is the probability that both cards selected are black? Half of the 52 cards are black, so the probability that the first card is black is 26/52. But the probability of getting a black card changes on the next draw, since the number of black cards and the total number of cards have both been decreased by 1. Here's what the probabilities would look like in a tree diagram: 26 25 В 52 51 25/51 2 0.245 В 26/52 26 26 R 52 51 26/51 2 0.255 26 26 В 52 51 26/51 2 0.255 26/52 26 25 R 52 51 25/51 2 0.245 So the probability that both cards are black is: 26 25 P(both black) 2 0.245 52 51
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