Question

You are playing roulette and keep betting on black with a probability of 18/38. You decide you are going to quit playing after losing 10 times. What is the probability that you quit after the 23rd game?

Also, is this discrete or continuous?

Answer 1

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Giren out of black with a Betting on probability of 38 of Ayo Photo can mulate there 38 total 18 blacks anyways, our natural probability would black hore been geleting 38 we are fair. {No Playing No trased ased} means, the game} 23rd turn.. As want to finish the game {quit enactly at the 23rd And alo, we need to lose to times to quit . the game. definately losing a which means, 23rd game Regut of of 23rd game - Non-black. -) have to lose g Now for we 1 St for the 22 games, of them 9 g norblacks 13 wins blacks Rest 13 Before calculating the probability. possible outcomes for blacks 18 possible outcomes for non. blacks 38-18:20 Total outcomes for Rithes of them 38 lose out of 22 games choosing any 9 games to 22 cg * Probability. 2268 x L230 x 239 x 20) T 23rd game - 497420 x 200 x 1813 3823 Prob 0.04039

Discrete vs. Continuous Variables

If a variable can take on any value between two specified values, it is called a continuous variable; otherwise, it is called a discrete variable.

Some examples will clarify the difference between discrete and continuous variables.

• Suppose the fire department mandates that all fire fighters must weigh between 150 and 250 pounds. The weight of a fire fighter would be an example of a continuous variable; since a fire fighter's weight could take on any value between 150 and 250 pounds.
• Suppose we flip a coin and count the number of heads. The number of heads could be any integer value between 0 and plus infinity. However, it could not be any number between 0 and plus infinity. We could not, for example, get 2.5 heads. Therefore, the number of heads must be a discrete variable

Discrete Continuous {examples giren in tort treret format) This is discrete distribution we can't take values real between 0.38 } for continuous} any But, we have some fined (finite) values to consider. Set of