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Naily [24]
3 years ago
14

Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 3 or 9?

Mathematics
1 answer:
MariettaO [177]3 years ago
7 0

|\Omega|=6^2=36\\ |A|=\underbrace{2}_{\text{the sum is 3}}+\underbrace{4}_{\text{the sum is 9}}=6\\\\ P(A)=\dfrac{6}{36}=\dfrac{1}{6}\approx17\%

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Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a
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Answer:

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Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find -  What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

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Total cards in a standard deck = 52

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Other cards = 40

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Probability of getting a face card = \frac{12}{52}

Probability of getting a other card = \frac{40}{52}

So,

Expected value, E[x] = ∑ x p(x)

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Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

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