Two dice are thrown simultaneously. What is the probability of getting the face numbers are same?

Answer: Option 4 Getting at most Two heads means 0 to 2 but not more than 2 Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH} Let E = event...

Answer: Option 2 In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36 Then, E = {(1, 2), (1, 4), (1, 6), (2, 1), (2,...

Answer: Option 2 In a simultaneous throw of two dice, we have n (S) = (6 × 6) = 36 Let E = event of getting two numbers whose product is...

Answer: Option 1 In a simultaneous throw of dice, n (S) = (6 × 6) = 36 Let E = event of getting a doublet = [(1, 1), (2, 2), (3, 3),...

Answer: Option 1 In a simultaneous throw of two dice, we have n(S) = 6 x 6 = 36 Let E = event of getting two numbers whose sum is odd. Then...

Answer: Option 4 Total 4 cases = [HH, TT, TH, HT] Favourable cases = [HH, TH, HT] Please note we need atmost one tail, not atleast one tail. So probability = $$\frac{{3}}{{4}}$$

Answer: Option 3 Sample space (All [possible outcomes)S=(HH, HT, TH, TT) Event(required outcomes) = (TT, HT, TH) $$\eqalign{ & {\text{p}}\left( {\text{E}} \right) = \frac{{{\text{n}}\left( {\text{E}} \right)}}{{{\text{n}}\left( {\text{S}} \right)}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{3}{4} \cr}...

Answer: Option 3 At least one tails means one tails or both tails Let us see what the possible outcomes are when two coins are tossed simultaneously We can get, 1. Heads and...

Answer: Option 1 The total number of elementary events associated to the random experiments of throwing four dice simultaneously is: $$\eqalign{ & = 6 \times 6 \times 6 \times 6 = {6^4}...

Answer: Option 3 Galileo’s experiment showed that if two bodies of unequal masses are dropped from the same height, the time required by them to reach the ground are equal....