a) There are 6 possible outcomes when rolling a die: 1, 2, 3, 4, 5, 6. Out of these, numbers greater than 4 are 5 and 6. So, the probability of getting a number greater than 4 is 2/6 or 1/3.
b) When tossing two coins, the possible outcomes are HH, HT, TH, TT. Only one head is obtained in two of these outcomes (HT, TH). So, the probability of getting one head only is 2/4 or 1/2.
c) When rolling two dice, the possible outcomes range from 2 to 12. To find the outcomes where the sum is equal to 5, we have (1,4), (2,3), (3,2), (4,1). So, there are 4 favorable outcomes out of a total of 36 outcomes (6 sides on each die). Therefore, the probability is 4/36 or 1/9.
d) In a deck of cards, there is only one King of hearts. There are a total of 52 cards in a deck. Therefore, the probability of drawing the King of hearts is 1/52.
a) A die is rolled, find the probability that the number obtained is greater than 4.
b) Two coins are tossed, find the probability that one head only is obtained.
c) Two dice are rolled, find the probability that the sum is equal to 5.
d) A card is drawn at random from a deck of cards. Find the probability of getting the King of heart.
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