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maks197457 [2]
1 year ago
8

A bowl has only red, green, and purple grapes. The probability of picking a red grape out of the bowl, eating it, and then picki

ng a green grape out of the bowl is 1/8 The probability of picking just a red grape is 1/4 . What is the probability of picking a green grape?
Mathematics
1 answer:
Xelga [282]1 year ago
8 0

The probability of picking a green grape is 1/2.

<h3>What is probability?</h3>

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

Since the probability of picking a red grape out of the bowl, eating it, and then picking a green grape out of the bowl is 1/8 and probability of picking just a red grape is 1/4 .

The probability of green grape will be the division. This will be:

= P(R and G) / P(R)

= 1/8 ÷ 1/4

= 1/8 × 4/1

= 1/2

The probability is 1/2.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

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Answer:

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

Step-by-step explanation:

It is said that Actuary Rahul examines a low risk policy

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Probability that actuary Rahul examines exactly n policies =  0.9^{n-1} (0.1)

Probability that Toby examines more than n policies = 0.8^n

Since the claim statuses of policies are mutually independent, the probability that both events happen simultaneously = 0.9^{n-1} (0.1) (0.8)^n

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The probability that Actuary Rahul examines fewer policies that Actuary Toby = \sum\limits^ \infty_1 {\frac{0.1}{0.9} 0.72^{n} } = \frac{1}{9}\sum\limits^ \infty_1 { 0.72^{n} } = \frac{1}{9} (\frac{0.72}{1-0.72} ) = \frac{1}{9} (\frac{0.72}{0.28} )

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

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