please answer this question
Answers
1. 1/4
2. 1/2
3. 22/27
4. 1/2
5. 1/2
6. 1/2
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Answer:
1. Total no.of card is 52
Therefore, total of outcomes=52
Let E¹ =Event of getting an ace
Therefore, No.of favourable outcomes to E¹=4
P(E¹)=4/52=1/13
2. Let E²=Event of getting a red card
Therefore, no.of favorable outcomes to E²=26
P(E²)=26/52=1/2
3. Let E³=Event of getting neither king nor queen
Therefore,No.of favorable outcomes to E³=44
P(E³)=44/52=11/26=11/13
4. LetP(E⁴) =Event of getting outcomes a red face card
Therefore, No.of favorable outcomes to E⁴=6
P(E⁴)=6/52=3/26
5.Let E5=Event of getting a card of spade or an ace
Total card of spade =13
Total card for aces=4
No.of spade of an ace =1
Therefore,
P(E5) =13/52+4/52-1/52=16/52=4/13
6.Let E6=Event of getting a non face card of red colour
Therefore, no.of favorable outcomes toE6=20
P(E6)=20/52=5/13.