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Find the probability that a leap year has 52 Sundays.

2. We toss a fair six-sided die twice, and record the number that is showing on each toss.
(a) How many outcomes are there in the sample space?

(b) What is the probability that the die shows 5 at least once?

(c) What is the probability that the die does not show 5?

a=2i +j-2k, b= i+j+2k

Q. समांतर श्रेणी 11,13,15, ....... 99 वें पद का योग क्या होगा ?

Solution 👇👇

दिया है:

AP = 11, 13, 15...........99

सूत्र:

एक समांतर श्रेणी का योग = [ ( पहला पद + अंतिम पद) / 2] x पदों की संख्या

पदों की संख्या = [(अंतिम पद+1)]

गणना:

पहला पद = 11 और अंतिम पद = 99

अंतर (d) = दूसरा पद -- पहला पद = 13-11=2

=> पदों की संख्या = (99 – 11 ) / 2 + 1 = 88/2 + 1 = 44 + 1 = 45

.. समांतर श्रेणी का योग = (99 + 11 ) / 2 × 45 = 110 /2 x 45 = 55 x 45 = 2475

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पहला पद ) / अंतर]

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An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.

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• Press each hotspot.
• Label the corresponding number with "+" or "-" to complete the blanks that ore shaped like circles.
• Label the corresponding number with a constant to complete the blanks shaped like rectangles. The constants should be integers or rational numbers in simplified fraction form. Examples: 1 /2,- 2 /3, etc.)