When coin 1 is flipped, it lands on heads with probability ; when coin 2 is flipped it lands on heads with4probability(a) If coin 1 is flipped 12 times, find the probability that it lands on heads at least 10 times.(b) If one of the coins is randomly selected and flipped 10 times, what is the probability that it lands on headsexactly 7 times?(c) In part (b), given that the first of these 10 flips lands on tails, find the conditional probability that exactly 7 ofthe 10 flips land on heads.

The probability of coin 1 landing on heads is, (i.e. 0.9).The probability of coin 2 landing on…

Answered: 9 When coin 1 is flipped, it lands on…

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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When coin 1 is flipped, it lands on heads with probability ; when coin 2 is flipped it lands on heads with probability. (a) If coin 1 is flipped 9 times, find the probability that it lands on heads at least 7 times. (b) If one of the coins is randomly selected and flipped 11 times, what is the probability that it lands on heads exactly 8 times? (c) In part (b), given that the first of these 11 flips lands on tails, find the conditional probability that exactly 8 of the 11 flips land on heads.
Airline A is on time 80% of the time, Airline B is on time 85% of the time, and Airline C is on time 90% of the time. Airline A has twice as many flights as Airline B, and Airline B has three times as many flights as Airline C. One flight is selected at random from one of these airlines. (a) What is the probability this flight on time? (b) Given that the flight is on time, what is the probability it is from Airline A?
.............. If you have 6 red cards and 8 blue cards in your right hand, but your left hand is empty. Your friend has selected 4 cards without replacement in random and put them in your left hand. Then, he selected a card in random from your left hand. The conditional probability that two red cards and two blue cards were moved from your right hand to your left hand given that the card selected from your left hand is blue is: Select one: a. 0.4632 b. 0.0644 c. 0.3671 d. 0.3974 е. 0.4895
1 card is drawn at random from the pack of 52 cards.(i) Find the Probability that it is an honor card.(ii) It is a face card.
Suppose that Tuon has a perfectly fair coin – that is a coin which lands on heads exactly 50% of the time – and he is not using any tricks. Find the probability that, if he flips it 12 times, he gets at least 10 heads
two coins are flipped. what is the probability that both of the coins land heads up
5 balls are drawn with replacement from a bag containing 4 red balls and 6 black balls. (Round your answers to five decimal places.) (a) Find the probability that 2 of the balls will be red.(b) Find the probability that all 5 balls will be black.(c) Find the probability that at least 3 of the balls will be black.
A bowl contains six blue chips and three red chips. Three chips are to be drawn successively at random and without replacement. Find the probability that the first draw results in a red-chip (A), the second draw results in a blue-chip (B), and the third draw results in a blue-chip (C).
Two machines are selected at random without replacement from 10 for inspection. Suppose that unknown to the inspector, three of the ten machines are defective. Find the probability that both machines picked for inspection are defective?

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