1. Consider drawing a single card from a well shuffled 52-card deck. Let E1 be an event of getting a heart card and E2 be an event of getting a face card. Find P(E1UE2). 2. Two balls are drawn in succession, without replacement, from a box containing 4 blue and 6 white balls of the same sizes. What is the probability of drawing a blue ball on the first draw and a white ball on the second drawn?

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trishagauravoxo1j7 trishagauravoxo1j7

08-12-2017
Mathematics

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1. Consider drawing a single card from a well shuffled 52-card deck. Let E1 be an event of getting a heart card and E2 be an event of getting a face card. Find P(E1UE2). 2. Two balls are drawn in succession, without replacement, from a box containing 4 blue and 6 white balls of the same sizes. What is the probability of drawing a blue ball on the first draw and a white ball on the second drawn?

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eco92 eco92 · Answer 1 · 2017-12-08T22:48:39+01:00

1)
Let E be the event E1UE2, that is: "getting a heart card or a face card."

There are a total of 13 hearts and 3+3+3 non hearts face cards.
Thus, n(E)=13+9=22.

P(E)=n(E)/52=22/52=0.423

2)
The probability of drawing first a blue ball is 4/10=2/5. After a blue ball has been drawn, now there are 3 blue and 6 white balls left. Thus, the probability of now drawing a white ball is 6/9=2/3.

The probability of this event to happen is (2/5)*(2/3)=4/15=0.267